﻿:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.167988:0.154372:0.167988:0.154372:0.152410:0.102121:0.152410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elegimos las ecuaciones (1) y (2) :@0.157756:0.167988:0.374783:0.167988:0.374783:0.153089:0.157756:0.153089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para eliminar la variable  .:@0.102121:0.183076:0.273044:0.183076:0.273044:0.168177:0.102121:0.168177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.263546:0.183076:0.270129:0.183076:0.270129:0.168202:0.263546:0.168202:0.000000
Ecuaciones (1) y (2), multiplicamos por (–1) :@0.102121:0.205292:0.390782:0.205292:0.390782:0.190393:0.102121:0.190393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación (2) y sumamos.:@0.102121:0.220380:0.281419:0.220380:0.281419:0.205481:0.102121:0.205481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  4:@0.105137:0.241920:0.121570:0.241920:0.121570:0.227170:0.105137:0.227170:0.000000:0.000000:0.000000
 202:@0.199753:0.241920:0.228061:0.241920:0.228061:0.227170:0.199753:0.227170:0.000000:0.000000:0.000000:0.000000
  :@0.145092:0.260591:0.152356:0.260591:0.152356:0.245841:0.145092:0.245841:0.000000:0.000000
  2:@0.105139:0.282697:0.121051:0.282692:0.121051:0.267942:0.105139:0.267947:0.000000:0.000000:0.000000
            92:@0.144379:0.282697:0.220793:0.282692:0.220793:0.267942:0.144379:0.267947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.221001:0.282697:0.235512:0.282697:0.235512:0.267947:0.221001:0.267947:0.000000:0.000000:0.000000:0.000000
2:@0.144672:0.241920:0.152766:0.241920:0.152766:0.227170:0.144672:0.227170:0.000000
2:@0.113947:0.260591:0.122041:0.260591:0.122041:0.245841:0.113947:0.245841:0.000000
110:@0.206906:0.260591:0.231020:0.260591:0.231020:0.245841:0.206906:0.245841:0.000000:0.000000:0.000000
4:@0.264577:0.282692:0.272670:0.282692:0.272670:0.267942:0.264577:0.267942:0.000000
x:@0.122809:0.241914:0.129526:0.241914:0.129526:0.227189:0.122809:0.227189:0.000000
y z:@0.153724:0.241914:0.183079:0.241914:0.183079:0.227189:0.153724:0.227189:0.000000:0.000000:0.000000
x:@0.122757:0.260591:0.129474:0.260591:0.129474:0.245866:0.122757:0.245866:0.000000
y z:@0.152345:0.260591:0.181435:0.260591:0.181435:0.245866:0.152345:0.245866:0.000000:0.000000:0.000000
x:@0.121762:0.282697:0.128479:0.282697:0.128479:0.267972:0.121762:0.267972:0.000000
y:@0.151632:0.282697:0.158365:0.282697:0.158365:0.267972:0.151632:0.267972:0.000000
+:@0.133218:0.241546:0.142323:0.241546:0.142323:0.226298:0.133218:0.226298:0.000000
+ =:@0.164132:0.241546:0.196373:0.241546:0.196373:0.226298:0.164132:0.226298:0.000000:0.000000:0.000000
−:@0.104901:0.260217:0.114006:0.260217:0.114006:0.244969:0.104901:0.244969:0.000000
−:@0.133178:0.260217:0.142283:0.260217:0.142283:0.244969:0.133178:0.244969:0.000000
−= −:@0.162766:0.260217:0.206964:0.260217:0.206964:0.244969:0.162766:0.244969:0.000000:0.000000:0.000000:0.000000
+:@0.132183:0.282324:0.141288:0.282324:0.141288:0.267076:0.132183:0.267076:0.000000
=:@0.192967:0.282324:0.202072:0.282324:0.202072:0.267076:0.192967:0.267076:0.000000
→:@0.238940:0.282324:0.255309:0.282324:0.255309:0.267076:0.238940:0.267076:0.000000
():@0.257698:0.283893:0.279242:0.283893:0.279242:0.264406:0.257698:0.264406:0.000000:0.000000
Obtenemos la ecuación 4.:@0.102121:0.312223:0.276011:0.312223:0.276011:0.297324:0.102121:0.297324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.403597:0.167985:0.455848:0.167985:0.455848:0.152408:0.403597:0.152408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilizamos las ecuaciones (1) y (3) :@0.459232:0.167985:0.685021:0.167985:0.685021:0.153086:0.459232:0.153086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para eliminar la misma variable que en el :@0.403597:0.183073:0.679372:0.183073:0.679372:0.168174:0.403597:0.168174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paso anterior, es decir  .:@0.403597:0.198161:0.561671:0.198161:0.561671:0.183262:0.403597:0.183262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.552173:0.198161:0.558756:0.198161:0.558756:0.183287:0.552173:0.183287:0.000000
Ecuaciones (1) y (3), multiplicamos por (–1) :@0.403597:0.220377:0.692258:0.220377:0.692258:0.205478:0.403597:0.205478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación (3) y sumamos.:@0.403597:0.235465:0.582895:0.235465:0.582895:0.220566:0.403597:0.220566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.406380:0.256995:0.414474:0.256995:0.414474:0.242245:0.406380:0.242245:0.000000
2:@0.437577:0.256995:0.445670:0.256995:0.445670:0.242245:0.437577:0.242245:0.000000
202:@0.504099:0.256995:0.528213:0.256995:0.528213:0.242245:0.504099:0.242245:0.000000:0.000000:0.000000
2:@0.438326:0.275666:0.446419:0.275666:0.446419:0.260916:0.438326:0.260916:0.000000
100:@0.501929:0.275666:0.526043:0.275666:0.526043:0.260916:0.501929:0.260916:0.000000:0.000000:0.000000
3   :@0.414427:0.297772:0.413881:0.297767:0.413881:0.283017:0.414427:0.283022:0.000000:0.000000:0.000000:0.000000
102   :@0.493387:0.297772:0.528615:0.297767:0.528615:0.283017:0.493387:0.283022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.557140:0.297772:0.565233:0.297772:0.565233:0.283022:0.557140:0.283022:0.000000
x:@0.415710:0.256995:0.422427:0.256995:0.422427:0.242270:0.415710:0.242270:0.000000
y z:@0.446624:0.256995:0.475979:0.256995:0.475979:0.242270:0.446624:0.242270:0.000000:0.000000:0.000000
x:@0.416747:0.275666:0.423464:0.275666:0.423464:0.260941:0.416747:0.260941:0.000000
y z:@0.447379:0.275666:0.476452:0.275666:0.476452:0.260941:0.447379:0.260941:0.000000:0.000000:0.000000
x:@0.423248:0.297772:0.429965:0.297772:0.429965:0.283047:0.423248:0.283047:0.000000
+:@0.426123:0.256621:0.435228:0.256621:0.435228:0.241374:0.426123:0.241374:0.000000
+ =:@0.457037:0.256621:0.489278:0.256621:0.489278:0.241374:0.457037:0.241374:0.000000:0.000000:0.000000
−−:@0.406380:0.275292:0.436266:0.275292:0.436266:0.260044:0.406380:0.260044:0.000000:0.000000
−= −:@0.457777:0.275292:0.501976:0.275292:0.501976:0.260044:0.457777:0.260044:0.000000:0.000000:0.000000:0.000000
=:@0.482709:0.297393:0.491815:0.297393:0.491815:0.282145:0.482709:0.282145:0.000000
→:@0.532033:0.297393:0.548402:0.297393:0.548402:0.282145:0.532033:0.282145:0.000000
():@0.550791:0.298968:0.571058:0.298968:0.571058:0.279481:0.550791:0.279481:0.000000:0.000000
   :@0.492650:0.256995:0.503547:0.256995:0.503547:0.242245:0.492650:0.242245:0.000000:0.000000:0.000000
             :@0.431826:0.297767:0.479043:0.297767:0.479043:0.283017:0.431826:0.283017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos la ecuación 5.:@0.403601:0.320170:0.577491:0.320170:0.577491:0.305271:0.403601:0.305271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102125:0.340488:0.154376:0.340488:0.154376:0.324910:0.102125:0.324910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos el nuevo sistema :@0.154376:0.340488:0.357194:0.340488:0.357194:0.325589:0.154376:0.325589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formado por la ecuación (4)   (5).:@0.102125:0.355576:0.320643:0.355576:0.320643:0.340677:0.102125:0.340677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.290204:0.355576:0.297006:0.355576:0.297006:0.340702:0.290204:0.340702:0.000000
es: :@0.102125:0.388756:0.123082:0.388756:0.123082:0.373857:0.102125:0.373857:0.000000:0.000000:0.000000:0.000000
2:@0.134008:0.378482:0.142102:0.378482:0.142102:0.363732:0.134008:0.363732:0.000000
92        :@0.188904:0.378482:0.234258:0.378482:0.234258:0.363732:0.188904:0.363732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.157370:0.397152:0.165464:0.397152:0.165464:0.382402:0.157370:0.382402:0.000000
102:@0.187853:0.397152:0.211968:0.397152:0.211968:0.382402:0.187853:0.382402:0.000000:0.000000:0.000000
x:@0.142809:0.378482:0.149526:0.378482:0.149526:0.363756:0.142809:0.363756:0.000000
y:@0.166177:0.378482:0.172910:0.378482:0.172910:0.363756:0.166177:0.363756:0.000000
x:@0.166177:0.397152:0.172894:0.397152:0.172894:0.382427:0.166177:0.382427:0.000000
+=:@0.153232:0.378108:0.186269:0.378108:0.186269:0.362860:0.153232:0.362860:0.000000:0.000000
=:@0.177167:0.396779:0.186273:0.396779:0.186273:0.381531:0.177167:0.381531:0.000000
:@0.125854:0.379241:0.134047:0.379241:0.134047:0.363993:0.125854:0.363993:0.000000
:@0.125854:0.389572:0.134047:0.389572:0.134047:0.374324:0.125854:0.374324:0.000000
:@0.125858:0.399926:0.134051:0.399926:0.134051:0.384678:0.125858:0.384678:0.000000
De la ecuación 5 encontramos el valor de  :      = 24:@0.102121:0.421026:0.455078:0.423050:0.455078:0.408151:0.102121:0.406127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.381400:0.421026:0.388185:0.421026:0.388185:0.406152:0.381400:0.406152:0.000000
3  = 102;   = 34:@0.102121:0.436114:0.205969:0.436114:0.205969:0.421215:0.102121:0.421215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.110296:0.436114:0.117081:0.436114:0.117081:0.421240:0.110296:0.421240:0.000000
x:@0.165512:0.436114:0.172297:0.436114:0.172297:0.421240:0.165512:0.421240:0.000000
Paso 4.:@0.403597:0.340483:0.455848:0.340483:0.455848:0.324905:0.403597:0.324905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos el valor de   en la :@0.455848:0.340483:0.683899:0.340483:0.683899:0.325584:0.455848:0.325584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.637846:0.340483:0.644631:0.340483:0.644631:0.325610:0.637846:0.325610:0.000000
ecuación (4).:@0.403597:0.355571:0.488197:0.355571:0.488197:0.340672:0.403597:0.340672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  +   = 92:@0.403597:0.377788:0.476353:0.377788:0.476353:0.362888:0.403597:0.362888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.411773:0.377788:0.418557:0.377788:0.418557:0.362914:0.411773:0.362914:0.000000
y:@0.435879:0.377788:0.442681:0.377788:0.442681:0.362914:0.435879:0.362914:0.000000
2(34) +   = 92:@0.403597:0.392875:0.494797:0.392875:0.494797:0.377976:0.403597:0.377976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.454324:0.392875:0.461125:0.392875:0.461125:0.378001:0.454324:0.378001:0.000000
     = 92 – 68:@0.403597:0.407963:0.487142:0.407963:0.487142:0.393064:0.403597:0.393064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.414604:0.407963:0.421405:0.407963:0.421405:0.393089:0.414604:0.393089:0.000000
y:@0.414604:0.423050:0.421405:0.423050:0.421405:0.408176:0.414604:0.408176:0.000000
Paso 5.:@0.102121:0.457148:0.154372:0.457148:0.154372:0.441570:0.102121:0.441570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos el valor :@0.154372:0.457148:0.315463:0.457148:0.315463:0.442249:0.154372:0.442249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   = 34,   = 24 en la ecuación 1.:@0.102121:0.472236:0.325531:0.472236:0.325531:0.457337:0.102121:0.457337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.123028:0.472236:0.129813:0.472236:0.129813:0.457362:0.123028:0.457362:0.000000
y:@0.170069:0.472236:0.176870:0.472236:0.176870:0.457362:0.170069:0.457362:0.000000
          4  + 2  +   = 202:@0.102121:0.494452:0.251821:0.494452:0.251821:0.479553:0.102121:0.479553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146984:0.494452:0.153769:0.494452:0.153769:0.479579:0.146984:0.479579:0.000000
y:@0.179266:0.494452:0.186068:0.494452:0.186068:0.479579:0.179266:0.479579:0.000000
z:@0.203390:0.494452:0.209973:0.494452:0.209973:0.479579:0.203390:0.479579:0.000000
4(34) + 2(24) +   = 202:@0.102121:0.509540:0.252005:0.509540:0.252005:0.494641:0.102121:0.494641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.203574:0.509540:0.210157:0.509540:0.210157:0.494666:0.203574:0.494666:0.000000
z:@0.102121:0.524628:0.108705:0.524628:0.108705:0.509754:0.102121:0.509754:0.000000
 = 202 – 136 – 48:@0.108705:0.524628:0.222856:0.524628:0.222856:0.509729:0.108705:0.509729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.102121:0.539715:0.108705:0.539715:0.108705:0.524841:0.102121:0.524841:0.000000
 = 18:@0.108705:0.539715:0.142377:0.539715:0.142377:0.524816:0.108705:0.524816:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 6.:@0.403597:0.457148:0.455848:0.457148:0.455848:0.441570:0.403597:0.441570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Vericamos la respuesta :@0.455848:0.457148:0.622365:0.457148:0.622365:0.442249:0.455848:0.442249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.487761:0.457148:0.491430:0.457148:0.491430:0.442249:0.487761:0.442249:0.000000
x:@0.403597:0.472236:0.410382:0.472236:0.410382:0.457362:0.403597:0.457362:0.000000
 = 34,   = 24 y   = 18 en las ecuaciones :@0.410382:0.472236:0.670597:0.472236:0.670597:0.457337:0.410382:0.457337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.450638:0.472236:0.457440:0.472236:0.457440:0.457362:0.450638:0.457362:0.000000
z:@0.505821:0.472236:0.512404:0.472236:0.512404:0.457362:0.505821:0.457362:0.000000
originales.:@0.403597:0.487324:0.470790:0.487324:0.470790:0.472425:0.403597:0.472425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
434:@0.415050:0.511084:0.447075:0.511084:0.447075:0.496334:0.415050:0.496334:0.000000:0.000000:0.000000
2 24:@0.467392:0.511084:0.498903:0.511084:0.498903:0.496334:0.467392:0.496334:0.000000:0.000000:0.000000:0.000000
18:@0.524543:0.511084:0.540647:0.511084:0.540647:0.496334:0.524543:0.496334:0.000000:0.000000
202:@0.561809:0.511084:0.585924:0.511084:0.585924:0.496334:0.561809:0.496334:0.000000:0.000000:0.000000
234:@0.419843:0.529755:0.451354:0.529755:0.451354:0.515005:0.419843:0.515005:0.000000:0.000000:0.000000
24:@0.478039:0.529755:0.494143:0.529755:0.494143:0.515005:0.478039:0.515005:0.000000:0.000000
18:@0.519783:0.529755:0.535887:0.529755:0.535887:0.515005:0.519783:0.515005:0.000000:0.000000
110:@0.556021:0.529755:0.580136:0.529755:0.580136:0.515005:0.556021:0.515005:0.000000:0.000000:0.000000
34:@0.426211:0.548426:0.442315:0.548426:0.442315:0.533676:0.426211:0.533676:0.000000:0.000000
224:@0.462632:0.548426:0.494143:0.548426:0.494143:0.533676:0.462632:0.533676:0.000000:0.000000:0.000000
18:@0.519783:0.548426:0.535887:0.548426:0.535887:0.533676:0.519783:0.533676:0.000000:0.000000
100:@0.556021:0.548426:0.580136:0.548426:0.580136:0.533676:0.556021:0.533676:0.000000:0.000000:0.000000
( ):@0.424615:0.512285:0.453656:0.512285:0.453656:0.492798:0.424615:0.492798:0.000000:0.000000:0.000000
+:@0.455947:0.510711:0.465053:0.510711:0.465053:0.495463:0.455947:0.495463:0.000000
( ) ( ):@0.476442:0.512285:0.547218:0.512285:0.547218:0.492798:0.476442:0.492798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.507774:0.510711:0.516879:0.510711:0.516879:0.495463:0.507774:0.495463:0.000000
=:@0.550084:0.510711:0.559189:0.510711:0.559189:0.495463:0.550084:0.495463:0.000000
( ) ( ) ( ):@0.428902:0.530956:0.542461:0.530956:0.542461:0.511469:0.428902:0.511469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.460234:0.529382:0.469340:0.529382:0.469340:0.514134:0.460234:0.514134:0.000000
+:@0.503017:0.529382:0.512122:0.529382:0.512122:0.514134:0.503017:0.514134:0.000000
=:@0.545327:0.529382:0.554432:0.529382:0.554432:0.514134:0.545327:0.514134:0.000000
( ):@0.419856:0.549627:0.448896:0.549627:0.448896:0.530140:0.419856:0.530140:0.000000:0.000000:0.000000
+:@0.451188:0.548052:0.460293:0.548052:0.460293:0.532805:0.451188:0.532805:0.000000
( ) ( ):@0.471683:0.549627:0.542461:0.549627:0.542461:0.530140:0.471683:0.530140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.503017:0.548052:0.512122:0.548052:0.512122:0.532805:0.503017:0.532805:0.000000
=:@0.545327:0.548052:0.554432:0.548052:0.554432:0.532805:0.545327:0.532805:0.000000
 :@0.406378:0.510823:0.414571:0.510823:0.414571:0.495575:0.406378:0.495575:0.000000:0.000000:0.000000
:@0.406378:0.531510:0.414571:0.531510:0.414571:0.516262:0.406378:0.516262:0.000000
:@0.406378:0.522212:0.414571:0.522212:0.414571:0.506964:0.406378:0.506964:0.000000
:@0.406378:0.552235:0.414571:0.552235:0.414571:0.536987:0.406378:0.536987:0.000000
:@0.406378:0.543360:0.414571:0.543360:0.414571:0.528112:0.406378:0.528112:0.000000
La solución dada satisface a las tres ecuaciones.:@0.403601:0.572032:0.705999:0.572032:0.705999:0.557133:0.403601:0.557133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema por resolver es::@0.102309:0.665929:0.271322:0.665929:0.271322:0.651783:0.102309:0.651783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.113758:0.688225:0.121852:0.688225:0.121852:0.673475:0.113758:0.673475:0.000000
3:@0.145419:0.688225:0.153512:0.688225:0.153512:0.673475:0.145419:0.673475:0.000000
8:@0.211195:0.688225:0.219288:0.688225:0.219288:0.673475:0.211195:0.673475:0.000000
1 ():@0.245410:0.688225:0.255535:0.688238:0.255535:0.673488:0.245410:0.673475:0.000000:0.000000:0.000000:0.000000
2:@0.122804:0.706896:0.130898:0.706896:0.130898:0.692146:0.122804:0.692146:0.000000
3:@0.178065:0.706896:0.186158:0.706896:0.186158:0.692146:0.178065:0.692146:0.000000
4:@0.219722:0.706896:0.227815:0.706896:0.227815:0.692146:0.219722:0.692146:0.000000
2 ():@0.254965:0.706896:0.267419:0.706896:0.267419:0.692146:0.254965:0.692146:0.000000:0.000000:0.000000:0.000000
2:@0.160968:0.725567:0.169061:0.725567:0.169061:0.710817:0.160968:0.710817:0.000000
3:@0.193060:0.725567:0.201153:0.725567:0.201153:0.710817:0.193060:0.710817:0.000000
3 ():@0.227772:0.725567:0.240233:0.725567:0.240233:0.710817:0.227772:0.710817:0.000000:0.000000:0.000000:0.000000
x:@0.123088:0.688225:0.129805:0.688225:0.129805:0.673500:0.123088:0.673500:0.000000
y:@0.154467:0.688225:0.161200:0.688225:0.161200:0.673500:0.154467:0.673500:0.000000
z:@0.178067:0.688225:0.184585:0.688225:0.184585:0.673500:0.178067:0.673500:0.000000
x:@0.131613:0.706896:0.138330:0.706896:0.138330:0.692171:0.131613:0.692171:0.000000
y:@0.155744:0.706896:0.162477:0.706896:0.162477:0.692171:0.155744:0.692171:0.000000
z:@0.186592:0.706896:0.193109:0.706896:0.193109:0.692171:0.186592:0.692171:0.000000
x:@0.114497:0.725567:0.121214:0.725567:0.121214:0.710842:0.114497:0.710842:0.000000
y:@0.138346:0.725567:0.145080:0.725567:0.145080:0.710842:0.138346:0.710842:0.000000
z:@0.169476:0.725567:0.175994:0.725567:0.175994:0.710842:0.169476:0.710842:0.000000
−:@0.133852:0.687852:0.142957:0.687852:0.142957:0.672604:0.133852:0.672604:0.000000
+ =− →:@0.165230:0.687852:0.239033:0.687852:0.239033:0.672604:0.165230:0.672604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.113734:0.706523:0.122839:0.706523:0.122839:0.691275:0.113734:0.691275:0.000000
+ −:@0.142376:0.706523:0.175612:0.706523:0.175612:0.691275:0.142376:0.691275:0.000000:0.000000:0.000000
= −→:@0.197836:0.706523:0.247574:0.706523:0.247574:0.691275:0.197836:0.691275:0.000000:0.000000:0.000000:0.000000
−+:@0.125277:0.725194:0.158231:0.725194:0.158231:0.709946:0.125277:0.709946:0.000000:0.000000
=→:@0.180737:0.725194:0.220375:0.725194:0.220375:0.709946:0.180737:0.709946:0.000000:0.000000
:@0.105077:0.688984:0.113270:0.688984:0.113270:0.673737:0.105077:0.673737:0.000000
:@0.105077:0.708651:0.113270:0.708651:0.113270:0.693403:0.105077:0.693403:0.000000
:@0.105077:0.699353:0.113270:0.699353:0.113270:0.684105:0.105077:0.684105:0.000000
:@0.105077:0.728355:0.113270:0.728355:0.113270:0.713107:0.105077:0.713107:0.000000
:@0.105077:0.720501:0.113270:0.720501:0.113270:0.705253:0.105077:0.705253:0.000000
Paso 1.:@0.367986:0.665929:0.420236:0.665929:0.420236:0.651138:0.367986:0.651138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la ecuación (1) despejamos z :@0.423620:0.665929:0.641552:0.665929:0.641552:0.651783:0.423620:0.651783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sustituimos la expresión generada en la  del paso (1), en la ecuación (3).:@0.367986:0.680254:0.859266:0.680254:0.859266:0.666108:0.367986:0.666108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación (2).:@0.367986:0.694579:0.452585:0.694579:0.452585:0.680433:0.367986:0.680433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.367986:0.715672:0.374569:0.715672:0.374569:0.701550:0.367986:0.701550:0.000000
 = – 8 – 4  + 3:@0.374569:0.715672:0.468282:0.715672:0.468282:0.701526:0.374569:0.701526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.436000:0.715672:0.442785:0.715672:0.442785:0.701550:0.436000:0.701550:0.000000
y:@0.468282:0.715672:0.475084:0.715672:0.475084:0.701550:0.468282:0.701550:0.000000
Sustituimos:@0.367986:0.729997:0.442232:0.729997:0.442232:0.715875:0.367986:0.715875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en (2):@0.442232:0.729997:0.483728:0.729997:0.483728:0.715851:0.442232:0.715851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2  +   – 3 (–8 – 4  +3 ) = –4:@0.367986:0.744322:0.561610:0.744322:0.561610:0.730176:0.367986:0.730176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384537:0.744322:0.391322:0.744322:0.391322:0.730200:0.384537:0.730200:0.000000
y:@0.408644:0.744322:0.415445:0.744322:0.415445:0.730200:0.408644:0.730200:0.000000
x:@0.487883:0.744322:0.494667:0.744322:0.494667:0.730200:0.487883:0.730200:0.000000
y:@0.516496:0.744322:0.523297:0.744322:0.523297:0.730200:0.516496:0.730200:0.000000
–2  +   + 24 + 12  – 9  = –4:@0.367986:0.758647:0.554138:0.758647:0.554138:0.744501:0.367986:0.744501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384537:0.758647:0.391322:0.758647:0.391322:0.744525:0.384537:0.744525:0.000000
y:@0.408644:0.758647:0.415445:0.758647:0.415445:0.744525:0.408644:0.744525:0.000000
x:@0.482790:0.758647:0.489575:0.758647:0.489575:0.744525:0.482790:0.744525:0.000000
y:@0.513463:0.758647:0.520265:0.758647:0.520265:0.744525:0.513463:0.744525:0.000000
10  – 8  = –28(4):@0.367986:0.772972:0.480914:0.772972:0.480914:0.758826:0.367986:0.758826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384336:0.772972:0.391121:0.772972:0.391121:0.758850:0.384336:0.758850:0.000000
y:@0.415010:0.772972:0.421811:0.772972:0.421811:0.758850:0.415010:0.758850:0.000000
Paso 2.:@0.655289:0.665929:0.707540:0.665929:0.707540:0.651138:0.655289:0.651138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sustituimos la expresión :@0.710924:0.665929:0.876218:0.665929:0.876218:0.651783:0.710924:0.651783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.655289:0.701347:0.684589:0.701347:0.684589:0.687225:0.655289:0.687225:0.000000:0.000000:0.000000
 –   + 2 (–8 – 4  + 3 ) = 3:@0.662074:0.701347:0.827655:0.701347:0.827655:0.687201:0.662074:0.687201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758635:0.701347:0.765420:0.701347:0.765420:0.687225:0.758635:0.687225:0.000000
y:@0.790917:0.701347:0.797718:0.701347:0.797718:0.687225:0.790917:0.687225:0.000000
x y:@0.655289:0.715672:0.684589:0.715672:0.684589:0.701550:0.655289:0.701550:0.000000:0.000000:0.000000
 –   – 16 – 8  + 6  = 3:@0.662074:0.715672:0.805123:0.715672:0.805123:0.701526:0.662074:0.701526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.740542:0.715672:0.747327:0.715672:0.747327:0.701550:0.740542:0.701550:0.000000
y:@0.772824:0.715672:0.779626:0.715672:0.779626:0.701550:0.772824:0.701550:0.000000
–7  + 5  = 19(5):@0.655289:0.729997:0.761650:0.729997:0.761650:0.715851:0.655289:0.715851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.671841:0.729997:0.678625:0.729997:0.678625:0.715875:0.671841:0.715875:0.000000
y:@0.704123:0.729997:0.710924:0.729997:0.710924:0.715875:0.704123:0.715875:0.000000
Paso 3.:@0.102309:0.792585:0.154560:0.792585:0.154560:0.777795:0.102309:0.777795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos el nuevo sistema :@0.154560:0.792585:0.357378:0.792585:0.357378:0.778439:0.154560:0.778439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formado por las ecuaciones (4) y (5). :@0.102309:0.806910:0.345688:0.806910:0.345688:0.792764:0.102309:0.792764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos por (5) la ecuación (4) :@0.102309:0.821235:0.348134:0.821235:0.348134:0.807089:0.102309:0.807089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y por (8) la ecuación (5) y sumamos.:@0.102309:0.835560:0.340140:0.835560:0.340140:0.821414:0.102309:0.821414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
50 40:@0.118470:0.857174:0.164924:0.857174:0.164924:0.843169:0.118470:0.843169:0.000000:0.000000:0.000000:0.000000:0.000000
140:@0.198674:0.857174:0.222789:0.857174:0.222789:0.843169:0.198674:0.843169:0.000000:0.000000:0.000000
56:@0.124142:0.874901:0.140246:0.874901:0.140246:0.860896:0.124142:0.860896:0.000000:0.000000
40:@0.163863:0.874901:0.179966:0.874901:0.179966:0.860896:0.163863:0.860896:0.000000:0.000000
152:@0.203102:0.874901:0.227217:0.874901:0.227217:0.860896:0.203102:0.860896:0.000000:0.000000:0.000000
6             :@0.130029:0.892628:0.191543:0.892628:0.191543:0.878624:0.130029:0.878624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.205889:0.892628:0.221993:0.892628:0.221993:0.878624:0.205889:0.878624:0.000000:0.000000
2:@0.173150:0.910355:0.181244:0.910355:0.181244:0.896351:0.173150:0.896351:0.000000
−:@0.137161:0.856819:0.146266:0.856819:0.146266:0.842342:0.137161:0.842342:0.000000
= −:@0.177396:0.856819:0.198757:0.856819:0.198757:0.842342:0.177396:0.842342:0.000000:0.000000:0.000000
−:@0.115120:0.874546:0.124225:0.874546:0.124225:0.860069:0.115120:0.860069:0.000000
+:@0.151921:0.874546:0.161027:0.874546:0.161027:0.860069:0.151921:0.860069:0.000000
=:@0.192438:0.874546:0.201543:0.874546:0.201543:0.860069:0.192438:0.860069:0.000000
:@0.106446:0.857895:0.114639:0.857895:0.114639:0.843417:0.106446:0.843417:0.000000
:@0.106446:0.867704:0.114639:0.867704:0.114639:0.853226:0.106446:0.853226:0.000000
:@0.106446:0.877536:0.114639:0.877536:0.114639:0.863059:0.106446:0.863059:0.000000
−:@0.118652:0.892273:0.127757:0.892273:0.127757:0.877796:0.118652:0.877796:0.000000
=:@0.195225:0.892273:0.204330:0.892273:0.204330:0.877796:0.195225:0.877796:0.000000
=−:@0.151872:0.910001:0.173233:0.910001:0.173233:0.895523:0.151872:0.895523:0.000000:0.000000
y:@0.166433:0.857174:0.173167:0.857174:0.173167:0.843193:0.166433:0.843193:0.000000
x:@0.141506:0.874901:0.148223:0.874901:0.148223:0.860920:0.141506:0.860920:0.000000
y:@0.181459:0.874901:0.188193:0.874901:0.188193:0.860920:0.181459:0.860920:0.000000
x:@0.139383:0.892628:0.146100:0.892628:0.146100:0.878647:0.139383:0.878647:0.000000
x:@0.140893:0.910355:0.147609:0.910355:0.147609:0.896374:0.140893:0.896374:0.000000
 :@0.111869:0.892628:0.115501:0.892628:0.115501:0.878624:0.111869:0.878624:0.000000
        :@0.111869:0.910355:0.140893:0.910355:0.140893:0.896351:0.111869:0.896351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.248302:0.892765:0.255086:0.892765:0.255086:0.878643:0.248302:0.878643:0.000000
 = –2:@0.255086:0.892765:0.288960:0.892765:0.288960:0.878619:0.255086:0.878619:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.367981:0.792586:0.420231:0.792586:0.420231:0.777795:0.367981:0.777795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sustituimos el valor de   en la :@0.420231:0.792586:0.624175:0.792586:0.624175:0.778440:0.420231:0.778440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.578123:0.792586:0.584907:0.792586:0.584907:0.778464:0.578123:0.778464:0.000000
ecuación (4).:@0.367981:0.806911:0.452580:0.806911:0.452580:0.792765:0.367981:0.792765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10  –8  = –28:@0.367981:0.828004:0.460186:0.828004:0.460186:0.813858:0.367981:0.813858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.384331:0.828004:0.391116:0.828004:0.391116:0.813882:0.384331:0.813882:0.000000
y:@0.411336:0.828004:0.418137:0.828004:0.418137:0.813882:0.411336:0.813882:0.000000
10(–2) –8  = –28:@0.367981:0.842329:0.478831:0.842329:0.478831:0.828183:0.367981:0.828183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.429981:0.842329:0.436783:0.842329:0.436783:0.828207:0.429981:0.828207:0.000000
–20 – 8  = –28:@0.367981:0.856654:0.465446:0.856654:0.465446:0.842508:0.367981:0.842508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.416596:0.856654:0.423398:0.856654:0.423398:0.842532:0.416596:0.842532:0.000000
               = 1:@0.367981:0.870979:0.447973:0.870979:0.447973:0.856833:0.367981:0.856833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.415675:0.870979:0.422476:0.870979:0.422476:0.856857:0.415675:0.856857:0.000000
Paso 5.:@0.655284:0.792586:0.707535:0.792586:0.707535:0.777795:0.655284:0.777795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Reemplazamos los valores :@0.707535:0.792586:0.889848:0.792586:0.889848:0.778440:0.707535:0.778440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   = –2, y = 1 en cualquiera de las :@0.655284:0.806911:0.896066:0.806911:0.896066:0.792765:0.655284:0.792765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.676191:0.806911:0.682976:0.806911:0.682976:0.792789:0.676191:0.792789:0.000000
ecuaciones del sistema inicial, en este :@0.655284:0.821236:0.909463:0.821236:0.909463:0.807090:0.655284:0.807090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso en la ecuación (3) para encontrar :@0.655284:0.835561:0.912015:0.835561:0.912015:0.821415:0.655284:0.821415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el valor de z::@0.655284:0.849886:0.737455:0.849886:0.737455:0.835740:0.655284:0.835740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  = 6:@0.773054:0.867995:0.813310:0.867995:0.813310:0.853849:0.773054:0.853849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.781229:0.867995:0.787812:0.867995:0.787812:0.853873:0.781229:0.853873:0.000000
    = 3:@0.773054:0.882320:0.812472:0.882320:0.812472:0.868174:0.773054:0.868174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.780391:0.882320:0.786975:0.882320:0.786975:0.868198:0.780391:0.868198:0.000000
  x y:@0.655284:0.867995:0.690615:0.867995:0.690615:0.853873:0.655284:0.853873:0.000000:0.000000:0.000000:0.000000:0.000000
 –   + 2  = 3:@0.668100:0.867995:0.748193:0.867995:0.748193:0.853849:0.668100:0.853849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.716112:0.867995:0.722696:0.867995:0.722696:0.853873:0.716112:0.853873:0.000000
–2 –1 + 2  = 3:@0.655284:0.882320:0.749634:0.882320:0.749634:0.868174:0.655284:0.868174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.717553:0.882320:0.724137:0.882320:0.724137:0.868198:0.717553:0.868198:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Resolvamos paso a paso empleando el :@0.110585:0.144572:0.413208:0.144572:0.413208:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de eliminación:@0.413208:0.144572:0.575131:0.144572:0.575131:0.128211:0.413208:0.128211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.575131:0.144572:0.578338:0.144572:0.578338:0.128183:0.575131:0.128183:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
Respondemos: La empresa puede exportar mensualmente 34 toneladas de banano, :@0.096353:0.602036:0.716476:0.602036:0.716476:0.585647:0.096353:0.585647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 de maracuyá y 18 de melón.:@0.096353:0.618632:0.325132:0.618632:0.325132:0.602243:0.096353:0.602243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096353:0.642351:0.110579:0.642351:0.110579:0.625451:0.096353:0.625451:0.000000:0.000000
  Utilicemos el :@0.110579:0.642351:0.223637:0.642351:0.223637:0.625962:0.110579:0.625962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de sustitución:@0.223637:0.642351:0.378924:0.642351:0.378924:0.625990:0.223637:0.625990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para resolver el siguiente sistema: :@0.378924:0.642351:0.632155:0.642351:0.632155:0.625962:0.378924:0.625962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos: La solución del sistema de ecuaciones es:   = –2,   = 1,   = 3.:@0.096353:0.921903:0.648900:0.921903:0.648900:0.905514:0.096353:0.905514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515669:0.921903:0.523132:0.921903:0.523132:0.905542:0.515669:0.905542:0.000000
y:@0.567635:0.921903:0.575116:0.921903:0.575116:0.905542:0.567635:0.905542:0.000000
z:@0.610405:0.921903:0.617647:0.921903:0.617647:0.905542:0.610405:0.905542:0.000000
Si no logras llegar :@0.754293:0.500099:0.875262:0.500099:0.875262:0.485200:0.754293:0.485200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la respuesta de un :@0.754293:0.515187:0.890942:0.515187:0.890942:0.500288:0.754293:0.500288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicio o problema, :@0.754293:0.530274:0.897742:0.530274:0.897742:0.515375:0.754293:0.515375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no te desanimes; :@0.754293:0.545362:0.870973:0.545362:0.870973:0.530463:0.754293:0.530463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vuelve a intentarlo; :@0.754293:0.560449:0.884524:0.560449:0.884524:0.545550:0.754293:0.545550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sé perseverante :@0.754293:0.575537:0.863064:0.575537:0.863064:0.560638:0.754293:0.560638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y no te rindas.:@0.754293:0.590625:0.846999:0.590625:0.846999:0.575726:0.754293:0.575726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.759543:0.467658:0.898315:0.467658:0.898315:0.450757:0.759543:0.450757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pasos para resolver :@0.754293:0.131225:0.883737:0.131225:0.883737:0.116325:0.754293:0.116325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas con sistemas :@0.754293:0.146312:0.918850:0.146312:0.918850:0.131413:0.754293:0.131413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones:@0.754293:0.161400:0.850535:0.161400:0.850535:0.146501:0.754293:0.146501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.754293:0.180046:0.763004:0.180046:0.763004:0.164681:0.754293:0.164681:0.000000:0.000000
Interpreta el :@0.776071:0.180046:0.861022:0.180046:0.861022:0.165146:0.776071:0.165146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enunciado, identifica :@0.776071:0.195133:0.918969:0.195133:0.918969:0.180234:0.776071:0.180234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los datos y las :@0.776071:0.210221:0.871189:0.210221:0.871189:0.195322:0.776071:0.195322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas, y asigna :@0.776071:0.225308:0.909452:0.225308:0.909452:0.210409:0.776071:0.210409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una variable para cada :@0.776071:0.240396:0.929690:0.240396:0.929690:0.225497:0.776071:0.225497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una.:@0.776071:0.255484:0.804466:0.255484:0.804466:0.240585:0.776071:0.240585:0.000000:0.000000:0.000000:0.000000
• :@0.754293:0.274129:0.763004:0.274129:0.763004:0.258765:0.754293:0.258765:0.000000:0.000000
Plantea las ecuaciones :@0.776071:0.274129:0.929037:0.274129:0.929037:0.259230:0.776071:0.259230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes.:@0.776071:0.289217:0.895681:0.289217:0.895681:0.274318:0.776071:0.274318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.754293:0.307863:0.763004:0.307863:0.763004:0.292499:0.754293:0.292499:0.000000:0.000000
Resuelve el sistema e :@0.776071:0.307863:0.920138:0.307863:0.920138:0.292964:0.776071:0.292964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpreta el resultado.:@0.776071:0.322950:0.925733:0.322950:0.925733:0.308051:0.776071:0.308051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.754293:0.341596:0.763004:0.341596:0.763004:0.326232:0.754293:0.326232:0.000000:0.000000
Comprueba la :@0.776071:0.341596:0.874709:0.341596:0.874709:0.326697:0.776071:0.326697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solución.:@0.776071:0.356684:0.835458:0.356684:0.835458:0.341785:0.776071:0.341785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica estos pasos en la :@0.754293:0.375329:0.905280:0.375329:0.905280:0.360456:0.754293:0.360456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolución de problemas :@0.754293:0.390417:0.912115:0.390417:0.912115:0.375543:0.754293:0.375543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno de trabajo.:@0.754293:0.405505:0.921193:0.405505:0.921193:0.390631:0.754293:0.390631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775158:0.098784:0.882699:0.098784:0.882699:0.081883:0.775158:0.081883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000