144:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.1.55. :@0.096359:0.936830:0.144696:0.936830:0.144696:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver un sistema de dos ecuaciones lineales con dos incógnitas de manera algebraica, utilizando los métodos de igualación y de eliminación gaussiana.:@0.144696:0.936830:0.865085:0.936830:0.865085:0.926858:0.144696:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistemas de ecuaciones lineales con :@0.305303:0.070161:0.829610:0.070161:0.829610:0.039433:0.305303:0.039433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos incógnitas. Método de igualación:@0.305303:0.099079:0.845766:0.099079:0.845766:0.068351:0.305303:0.068351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio  y  Joaquín  realizan  sus  compras  navideñas  en  diferentes  almacenes. :@0.304744:0.204110:0.907119:0.204110:0.907119:0.188441:0.304744:0.188441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compraron igual número de zapatos y pantalones en cada almacén. En el almacén :@0.304744:0.220707:0.907127:0.220707:0.907127:0.205037:0.304744:0.205037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Frut,  Antonio  pagó  por  cada  par  de  zapatos  $  30  y por  cada pantalón,  $ 15. :@0.304744:0.237303:0.907143:0.237303:0.907143:0.221633:0.304744:0.221633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903089:0.237303:0.907125:0.237303:0.907125:0.221633:0.903089:0.221633:0.000000
En total canceló $ 255. En el almacén Pat, Joaquín compró cada par de zapatos  :@0.304744:0.253899:0.907125:0.253899:0.907125:0.238230:0.304744:0.238230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en $ 45 y cada pantalón en $ 25. En total canceló $ 400. ¿Cuántos pares de zapatos :@0.304744:0.270496:0.907147:0.270496:0.907147:0.254826:0.304744:0.254826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y pantalones compró cada uno?:@0.304744:0.287092:0.540652:0.287092:0.540652:0.271422:0.304744:0.271422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables del problema::@0.304744:0.310811:0.601700:0.310811:0.601700:0.295141:0.304744:0.295141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.304744:0.334530:0.312207:0.334530:0.312207:0.318169:0.304744:0.318169:0.000000
: zapatos                       : pantalones:@0.312207:0.334530:0.561422:0.334530:0.561422:0.318860:0.312207:0.318860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.464825:0.334530:0.472306:0.334530:0.472306:0.318169:0.464825:0.318169:0.000000
Organizamos los datos en una tabla, tenemos::@0.304744:0.358249:0.642371:0.358249:0.642371:0.342579:0.304744:0.342579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Personas:@0.339239:0.387505:0.406650:0.387505:0.406650:0.371927:0.339239:0.371927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Zapatos ( ):@0.470025:0.387505:0.552580:0.387505:0.552580:0.371927:0.470025:0.371927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538977:0.387505:0.547320:0.387505:0.547320:0.371952:0.538977:0.371952:0.000000
Pantalones ( ):@0.612621:0.387505:0.711510:0.387505:0.711510:0.371927:0.612621:0.371927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.698427:0.387505:0.706753:0.387505:0.706753:0.371952:0.698427:0.371952:0.000000
Costo:@0.798321:0.387505:0.840638:0.387505:0.840638:0.371927:0.798321:0.371927:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio:@0.345856:0.413921:0.400016:0.413921:0.400016:0.399676:0.345856:0.399676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.499727:0.413921:0.516077:0.413921:0.516077:0.399676:0.499727:0.399676:0.000000:0.000000
x:@0.516077:0.413921:0.522862:0.413921:0.522862:0.399047:0.516077:0.399047:0.000000
15:@0.650498:0.413921:0.666848:0.413921:0.666848:0.399676:0.650498:0.399676:0.000000:0.000000
y:@0.666848:0.413921:0.673650:0.413921:0.673650:0.399047:0.666848:0.399047:0.000000
$ 255:@0.801303:0.413921:0.837673:0.413921:0.837673:0.399676:0.801303:0.399676:0.000000:0.000000:0.000000:0.000000:0.000000
Joaquín:@0.346543:0.437609:0.399363:0.437609:0.399363:0.423363:0.346543:0.423363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
45:@0.499743:0.437609:0.516094:0.437609:0.516094:0.423363:0.499743:0.423363:0.000000:0.000000
x:@0.516094:0.437609:0.522878:0.437609:0.522878:0.422735:0.516094:0.422735:0.000000
25:@0.650515:0.437609:0.666865:0.437609:0.666865:0.423363:0.650515:0.423363:0.000000:0.000000
y:@0.666865:0.437609:0.673667:0.437609:0.673667:0.422735:0.666865:0.422735:0.000000
$ 400:@0.801320:0.437609:0.837689:0.437609:0.837689:0.423363:0.801320:0.423363:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema de ecuaciones formado es: :@0.304744:0.481793:0.581081:0.481793:0.581081:0.466123:0.304744:0.466123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.595359:0.470464:0.613142:0.470464:0.613142:0.454795:0.595359:0.454795:0.000000:0.000000
x:@0.612531:0.470463:0.620437:0.470463:0.625656:0.454793:0.617751:0.454793:0.000000
+:@0.625462:0.471142:0.635578:0.471142:0.635578:0.455569:0.625462:0.455569:0.000000
15:@0.636150:0.470464:0.653932:0.470464:0.653932:0.454795:0.636150:0.454795:0.000000:0.000000
y:@0.653260:0.470463:0.661368:0.470463:0.666588:0.454793:0.658479:0.454793:0.000000
=:@0.668128:0.471142:0.678245:0.471142:0.678245:0.455569:0.668128:0.455569:0.000000
255:@0.680696:0.470464:0.707269:0.470464:0.707269:0.454795:0.680696:0.454795:0.000000:0.000000:0.000000
45:@0.596095:0.491210:0.613877:0.491210:0.613877:0.475540:0.596095:0.475540:0.000000:0.000000
x:@0.612478:0.491209:0.620383:0.491209:0.625603:0.475539:0.617697:0.475539:0.000000
+:@0.625410:0.491888:0.635526:0.491888:0.635526:0.476315:0.625410:0.476315:0.000000
25:@0.637240:0.491210:0.655023:0.491210:0.655023:0.475540:0.637240:0.475540:0.000000:0.000000
y:@0.654359:0.491209:0.662467:0.491209:0.667687:0.475539:0.659578:0.475539:0.000000
=:@0.669227:0.491888:0.679344:0.491888:0.679344:0.476315:0.669227:0.476315:0.000000
400:@0.682532:0.491210:0.709105:0.491210:0.709105:0.475540:0.682532:0.475540:0.000000:0.000000:0.000000
    el sistema equivalente es :@0.710951:0.480680:0.908071:0.480680:0.908071:0.465010:0.710951:0.465010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.919054:0.470459:0.928047:0.470459:0.928047:0.454790:0.919054:0.454790:0.000000
x:@0.927580:0.470463:0.935486:0.470463:0.940705:0.454793:0.932800:0.454793:0.000000
+:@0.940511:0.471142:0.950627:0.471142:0.950627:0.455569:0.940511:0.455569:0.000000
3:@0.952341:0.470464:0.961334:0.470464:0.961334:0.454795:0.952341:0.454795:0.000000
y:@0.960666:0.470463:0.968774:0.470463:0.973994:0.454793:0.965886:0.454793:0.000000
=:@0.975533:0.471142:0.985650:0.471142:0.985650:0.455569:0.975533:0.455569:0.000000
51:@0.988101:0.470464:1.005883:0.470464:1.005883:0.454795:0.988101:0.454795:0.000000:0.000000
9:@0.918831:0.491210:0.927824:0.491210:0.927824:0.475540:0.918831:0.475540:0.000000
x:@0.927213:0.491209:0.935119:0.491209:0.940338:0.475539:0.932433:0.475539:0.000000
+:@0.940144:0.491888:0.950260:0.491888:0.950260:0.476315:0.940144:0.476315:0.000000
5:@0.951974:0.491210:0.960967:0.491210:0.960967:0.475540:0.951974:0.475540:0.000000
y:@0.960299:0.491209:0.968407:0.491209:0.973627:0.475539:0.965519:0.475539:0.000000
=:@0.975168:0.491888:0.985285:0.491888:0.985285:0.476315:0.975168:0.476315:0.000000
80:@0.987736:0.491210:1.005518:0.491210:1.005518:0.475540:0.987736:0.475540:0.000000:0.000000
El sistema equivalente es: :@0.304744:0.529154:0.494471:0.529154:0.494471:0.513484:0.304744:0.513484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.181506:0.517562:0.199289:0.517562:0.199289:0.501892:0.181506:0.501892:0.000000:0.000000
x:@0.198678:0.517562:0.206584:0.517562:0.211803:0.501892:0.203898:0.501892:0.000000
+:@0.211609:0.518239:0.221726:0.518239:0.221726:0.502666:0.211609:0.502666:0.000000
15:@0.222297:0.517562:0.240079:0.517562:0.240079:0.501892:0.222297:0.501892:0.000000:0.000000
y:@0.239407:0.517562:0.247515:0.517562:0.252735:0.501892:0.244627:0.501892:0.000000
=:@0.254275:0.518239:0.264392:0.518239:0.264392:0.502666:0.254275:0.502666:0.000000
255:@0.266843:0.517562:0.293416:0.517562:0.293416:0.501892:0.266843:0.501892:0.000000:0.000000:0.000000
45:@0.182242:0.538307:0.200024:0.538307:0.200024:0.522637:0.182242:0.522637:0.000000:0.000000
x:@0.198626:0.538307:0.206532:0.538307:0.211751:0.522637:0.203846:0.522637:0.000000
+:@0.211557:0.538985:0.221674:0.538985:0.221674:0.523412:0.211557:0.523412:0.000000
25:@0.223387:0.538307:0.241170:0.538307:0.241170:0.522637:0.223387:0.522637:0.000000:0.000000
y:@0.240507:0.538307:0.248616:0.538307:0.253835:0.522637:0.245727:0.522637:0.000000
=:@0.255374:0.538985:0.265491:0.538985:0.265491:0.523412:0.255374:0.523412:0.000000
400:@0.268679:0.538307:0.295252:0.538307:0.295252:0.522637:0.268679:0.522637:0.000000:0.000000:0.000000
    el sistema equivalente es :@0.297098:0.527777:0.494218:0.527777:0.494218:0.512107:0.297098:0.512107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.505201:0.517557:0.514194:0.517557:0.514194:0.501887:0.505201:0.501887:0.000000
x:@0.513727:0.517562:0.521633:0.517562:0.526852:0.501892:0.518947:0.501892:0.000000
+:@0.526658:0.518239:0.536774:0.518239:0.536774:0.502666:0.526658:0.502666:0.000000
3:@0.538488:0.517562:0.547481:0.517562:0.547481:0.501892:0.538488:0.501892:0.000000
y:@0.546813:0.517562:0.554921:0.517562:0.560141:0.501892:0.552033:0.501892:0.000000
=:@0.561682:0.518239:0.571799:0.518239:0.571799:0.502666:0.561682:0.502666:0.000000
51:@0.574250:0.517562:0.592032:0.517562:0.592032:0.501892:0.574250:0.501892:0.000000:0.000000
9:@0.504980:0.538307:0.513973:0.538307:0.513973:0.522637:0.504980:0.522637:0.000000
x:@0.513362:0.538307:0.521268:0.538307:0.526487:0.522637:0.518582:0.522637:0.000000
+:@0.526292:0.538985:0.536409:0.538985:0.536409:0.523412:0.526292:0.523412:0.000000
5:@0.538123:0.538307:0.547116:0.538307:0.547116:0.522637:0.538123:0.522637:0.000000
y:@0.546448:0.538307:0.554556:0.538307:0.559776:0.522637:0.551668:0.522637:0.000000
=:@0.561315:0.538985:0.571432:0.538985:0.571432:0.523412:0.561315:0.523412:0.000000
80:@0.573883:0.538307:0.591665:0.538307:0.591665:0.522637:0.573883:0.522637:0.000000:0.000000
Para resolver el sistema de ecuaciones por :@0.304744:0.560170:0.616851:0.560170:0.616851:0.544501:0.304744:0.544501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualación:@0.616851:0.560170:0.699996:0.560170:0.699996:0.543270:0.616851:0.543270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se procede así: :@0.699996:0.560170:0.818781:0.560170:0.818781:0.544501:0.699996:0.544501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero:@0.304744:0.583889:0.368024:0.583889:0.368024:0.566989:0.304744:0.566989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se despeja la misma variable en ambas ecuaciones.:@0.368024:0.583889:0.749172:0.583889:0.749172:0.568220:0.368024:0.568220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.542313:0.646015:0.546348:0.646015:0.546348:0.630345:0.542313:0.630345:0.000000
En este caso, hemos despejado la variable  . :@0.304744:0.662611:0.630060:0.662611:0.630060:0.646942:0.304744:0.646942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.615354:0.662611:0.622818:0.662611:0.622818:0.646250:0.615354:0.646250:0.000000
Segundo:@0.304744:0.686330:0.376611:0.686330:0.376611:0.669430:0.304744:0.669430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se igualan las dos ecuaciones y se realiza el producto cruzado.:@0.376611:0.686330:0.836521:0.686330:0.836521:0.670661:0.376611:0.670661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.347600:0.709314:0.355708:0.709314:0.360301:0.693644:0.352193:0.693644:0.000000
y:@0.420997:0.709314:0.429105:0.709314:0.433698:0.693644:0.425590:0.693644:0.000000
y:@0.360585:0.746047:0.368693:0.746047:0.373287:0.730377:0.365178:0.730377:0.000000
y:@0.451157:0.746047:0.459265:0.746047:0.463858:0.730377:0.455750:0.730377:0.000000
51 3:@0.308826:0.709314:0.348132:0.709314:0.348132:0.693644:0.308826:0.693644:0.000000:0.000000:0.000000:0.000000
6:@0.329872:0.728763:0.338865:0.728763:0.338865:0.713093:0.329872:0.713093:0.000000
80 5:@0.379134:0.709314:0.421518:0.709314:0.421518:0.693644:0.379134:0.693644:0.000000:0.000000:0.000000:0.000000
9:@0.401541:0.728763:0.410533:0.728763:0.410533:0.713093:0.401541:0.713093:0.000000
9(51 3) 6(80 5):@0.307357:0.746051:0.468875:0.746051:0.468875:0.730381:0.307357:0.730381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.326260:0.709992:0.336377:0.709992:0.336377:0.694419:0.326260:0.694419:0.000000
=:@0.364277:0.718954:0.374393:0.718954:0.374393:0.703381:0.364277:0.703381:0.000000
−:@0.399658:0.709992:0.409775:0.709992:0.409775:0.694419:0.399658:0.694419:0.000000
−:@0.339252:0.746725:0.349369:0.746725:0.349369:0.731152:0.339252:0.731152:0.000000
=:@0.381083:0.746725:0.391199:0.746725:0.391199:0.731152:0.381083:0.731152:0.000000
−:@0.429824:0.746725:0.439941:0.746725:0.439941:0.731152:0.429824:0.731152:0.000000
Tercero:@0.304755:0.775271:0.363318:0.775271:0.363318:0.758370:0.304755:0.758370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se multiplica y se despeja  .:@0.363318:0.775271:0.571256:0.775271:0.571256:0.759601:0.363318:0.759601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.560568:0.775271:0.568049:0.775271:0.568049:0.758909:0.560568:0.758909:0.000000
459 – 27  = 480 – 30 ;  3  = 21;   = 7:@0.304755:0.798990:0.574149:0.798990:0.574149:0.783320:0.304755:0.783320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.367004:0.798990:0.374486:0.798990:0.374486:0.782628:0.367004:0.782628:0.000000
y:@0.455788:0.798990:0.463270:0.798990:0.463270:0.782628:0.455788:0.782628:0.000000
y:@0.483540:0.798990:0.491022:0.798990:0.491022:0.782628:0.483540:0.782628:0.000000
y :@0.539339:0.798990:0.550138:0.798990:0.550138:0.782628:0.539339:0.782628:0.000000:0.000000
Cuarto:@0.304755:0.822709:0.358877:0.822709:0.358877:0.805808:0.304755:0.805808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, se reemplaza el valor de   en cualquiera de las ecuaciones del sistema :@0.358877:0.822709:0.907192:0.822709:0.907192:0.807039:0.358877:0.807039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558357:0.822709:0.565838:0.822709:0.565838:0.806347:0.558357:0.806347:0.000000
y se obtiene la otra variable.:@0.304755:0.839305:0.508211:0.839305:0.508211:0.823635:0.304755:0.823635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6  + 3(7) = 51;  6  = 30;   = 5:@0.304755:0.863024:0.512582:0.863024:0.512582:0.847354:0.304755:0.847354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.313748:0.863024:0.321211:0.863024:0.321211:0.846663:0.313748:0.846663:0.000000
x:@0.425327:0.863024:0.432791:0.863024:0.432791:0.846663:0.425327:0.846663:0.000000
x:@0.477072:0.863024:0.484535:0.863024:0.484535:0.846663:0.477072:0.846663:0.000000
Solución:@0.304744:0.881383:0.365404:0.881383:0.365404:0.866270:0.304744:0.866270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antonio y Joaquín compraron 5 pares de zapatos y 7 pantalones.:@0.304744:0.905421:0.778992:0.905421:0.778992:0.889752:0.304744:0.889752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona:@0.311175:0.169497:0.395002:0.169497:0.395002:0.152596:0.311175:0.152596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Qué es para ti un sistema?:@0.395002:0.169497:0.600485:0.169497:0.600485:0.153827:0.395002:0.153827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El método de :@0.106213:0.527860:0.199673:0.527860:0.199673:0.513615:0.106213:0.513615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualación sirve para :@0.106213:0.542948:0.246530:0.542948:0.246530:0.528703:0.106213:0.528703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver cualquier tipo :@0.106213:0.558035:0.258241:0.558035:0.258241:0.543790:0.106213:0.543790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sistemas.:@0.106213:0.573123:0.186623:0.573123:0.186623:0.558878:0.106213:0.558878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.138784:0.503349:0.240652:0.503349:0.240652:0.486448:0.138784:0.486448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin importar las :@0.106213:0.728543:0.213360:0.728543:0.213360:0.714298:0.106213:0.714298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencias o similitudes :@0.106213:0.743631:0.269281:0.743631:0.269281:0.729385:0.106213:0.729385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que podamos tener :@0.106213:0.758718:0.242325:0.758718:0.242325:0.744473:0.106213:0.744473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unos con otros, es :@0.106213:0.773806:0.230397:0.773806:0.230397:0.759561:0.106213:0.759561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamental facilitar la :@0.106213:0.788894:0.262262:0.788894:0.262262:0.774648:0.106213:0.774648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inclusión social y evitar :@0.106213:0.803981:0.262578:0.803981:0.262578:0.789736:0.106213:0.789736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el aislamiento.:@0.106213:0.819069:0.200997:0.819069:0.200997:0.804824:0.106213:0.804824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.138784:0.704033:0.171143:0.704033:0.171143:0.687133:0.138784:0.687133:0.000000:0.000000:0.000000
Shutterstock, 278183861 :@0.091447:0.339517:0.091447:0.263898:0.080059:0.263898:0.080059:0.339517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.453823:0.626229:0.461729:0.626229:0.466322:0.610559:0.458417:0.610559:0.000000
y:@0.524969:0.617271:0.533077:0.617271:0.537671:0.601601:0.529562:0.601601:0.000000
80 5:@0.483106:0.617271:0.525490:0.617271:0.525490:0.601601:0.483106:0.601601:0.000000:0.000000:0.000000:0.000000
9:@0.505513:0.636720:0.514505:0.636720:0.514505:0.621050:0.505513:0.621050:0.000000
=:@0.468234:0.626900:0.478350:0.626900:0.478350:0.611327:0.468234:0.611327:0.000000
−:@0.503615:0.617938:0.513732:0.617938:0.513732:0.602365:0.503615:0.602365:0.000000
x:@0.310064:0.626229:0.317970:0.626229:0.322563:0.610559:0.314658:0.610559:0.000000
y:@0.378121:0.617271:0.386229:0.617271:0.390822:0.601601:0.382714:0.601601:0.000000
51 3:@0.339347:0.617271:0.378654:0.617271:0.378654:0.601601:0.339347:0.601601:0.000000:0.000000:0.000000:0.000000
6:@0.360393:0.636720:0.369386:0.636720:0.369386:0.621050:0.360393:0.621050:0.000000
=:@0.324478:0.626900:0.334595:0.626900:0.334595:0.611327:0.324478:0.611327:0.000000
−:@0.356782:0.617938:0.366898:0.617938:0.366898:0.602365:0.356782:0.602365:0.000000
Respuesta abierta.:@0.614140:0.168444:0.699145:0.168444:0.699145:0.158473:0.614140:0.158473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000