﻿149:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Un sistema de :@0.733225:0.363906:0.831459:0.363906:0.831459:0.349660:0.733225:0.349660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones :@0.733225:0.378993:0.812229:0.378993:0.812229:0.364748:0.733225:0.364748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incompatible no se :@0.733225:0.394081:0.865535:0.394081:0.865535:0.379836:0.733225:0.379836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede resolver por el :@0.733225:0.409168:0.878299:0.409168:0.878299:0.394923:0.733225:0.394923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de Cramer.:@0.733225:0.424256:0.862702:0.424256:0.862702:0.410011:0.733225:0.410011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.763277:0.338880:0.885358:0.338880:0.885358:0.321980:0.763277:0.321980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.095800:0.131225:0.153160:0.131225:0.153160:0.116112:0.095800:0.116112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un taller se confeccionan carteras y billeteras. Cada prenda debe pasar por el :@0.095800:0.155264:0.698255:0.155264:0.698255:0.139594:0.095800:0.139594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso de cortado y cosido. La cantidad de minutos necesarios para cada proce-:@0.095800:0.171860:0.694146:0.171860:0.694146:0.156191:0.095800:0.156191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
so y prenda se detalla en el siguiente cuadro::@0.095800:0.188457:0.424507:0.188457:0.424507:0.172787:0.095800:0.172787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proceso:@0.208578:0.217695:0.267262:0.217695:0.267262:0.202117:0.208578:0.202117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cartera:@0.348628:0.217695:0.403928:0.217695:0.403928:0.202117:0.348628:0.202117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Billetera:@0.497708:0.217695:0.556392:0.217695:0.556392:0.202117:0.497708:0.202117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cortado:@0.210639:0.244111:0.265185:0.244111:0.265185:0.229866:0.210639:0.229866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
45:@0.368095:0.244111:0.384445:0.244111:0.384445:0.229866:0.368095:0.229866:0.000000:0.000000
15:@0.518866:0.244111:0.535216:0.244111:0.535216:0.229866:0.518866:0.229866:0.000000:0.000000
Cocido:@0.214224:0.267799:0.261583:0.267799:0.261583:0.253554:0.214224:0.253554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
30:@0.368095:0.267799:0.384445:0.267799:0.384445:0.253554:0.368095:0.253554:0.000000:0.000000
18:@0.518866:0.267799:0.535216:0.267799:0.535216:0.253554:0.518866:0.253554:0.000000:0.000000
Los obreros que trabajan en la fábrica pueden dedicar hasta 630 minutos a la se-:@0.095800:0.302265:0.694146:0.302265:0.694146:0.286595:0.095800:0.286595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mana al proceso de cortado y 468 minutos al proceso de cocido. ¿Cuál es la pro-:@0.095800:0.318862:0.694146:0.318862:0.694146:0.303192:0.095800:0.303192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ducción semanal de esa fábrica?:@0.095800:0.335458:0.332665:0.335458:0.332665:0.319788:0.095800:0.319788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identifiquemos las variables, siendo  : las carteras e  : las billeteras.:@0.095800:0.359177:0.578966:0.359177:0.578966:0.343507:0.095800:0.343507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.359496:0.359177:0.366959:0.359177:0.366959:0.342816:0.359496:0.342816:0.000000
y:@0.472087:0.359177:0.479569:0.359177:0.479569:0.342816:0.472087:0.342816:0.000000
El sistema de ecuaciones es: :@0.095800:0.382896:0.304897:0.382896:0.304897:0.367226:0.095800:0.367226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.125570:0.407299:0.133476:0.407299:0.138069:0.391629:0.130163:0.391629:0.000000
y:@0.168451:0.407299:0.176559:0.407299:0.181153:0.391629:0.173045:0.391629:0.000000
x:@0.125625:0.428044:0.133531:0.428044:0.138124:0.412375:0.130219:0.412375:0.000000
y:@0.169280:0.428044:0.177389:0.428044:0.181982:0.412375:0.173874:0.412375:0.000000
45:@0.109045:0.407299:0.126828:0.407299:0.126828:0.391629:0.109045:0.391629:0.000000:0.000000
15:@0.151189:0.407299:0.168972:0.407299:0.168972:0.391629:0.151189:0.391629:0.000000:0.000000
630:@0.197424:0.407299:0.223997:0.407299:0.223997:0.391629:0.197424:0.391629:0.000000:0.000000:0.000000
30:@0.108326:0.428044:0.126109:0.428044:0.126109:0.412375:0.108326:0.412375:0.000000:0.000000
18:@0.151263:0.428044:0.169045:0.428044:0.169045:0.412375:0.151263:0.412375:0.000000:0.000000
468:@0.198640:0.428044:0.225213:0.428044:0.225213:0.412375:0.198640:0.412375:0.000000:0.000000:0.000000
+:@0.139461:0.407977:0.149578:0.407977:0.149578:0.392404:0.139461:0.392404:0.000000
=:@0.183651:0.407977:0.193767:0.407977:0.193767:0.392404:0.183651:0.392404:0.000000
+:@0.139516:0.428722:0.149633:0.428722:0.149633:0.413149:0.139516:0.413149:0.000000
=:@0.184480:0.428722:0.194597:0.428722:0.194597:0.413149:0.184480:0.413149:0.000000
; el sistema equivalente es: :@0.228145:0.417947:0.425464:0.417947:0.425464:0.402277:0.228145:0.402277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.445703:0.407299:0.453609:0.407299:0.458202:0.391629:0.450297:0.391629:0.000000
y:@0.472552:0.407299:0.480661:0.407299:0.485254:0.391629:0.477146:0.391629:0.000000
x:@0.445703:0.428044:0.453609:0.428044:0.458202:0.412375:0.450297:0.412375:0.000000
y:@0.480937:0.428044:0.489045:0.428044:0.493639:0.412375:0.485530:0.412375:0.000000
3:@0.437976:0.407299:0.446968:0.407299:0.446968:0.391629:0.437976:0.391629:0.000000
42:@0.501901:0.407299:0.519684:0.407299:0.519684:0.391629:0.501901:0.391629:0.000000:0.000000
5:@0.437976:0.428044:0.446968:0.428044:0.446968:0.412375:0.437976:0.412375:0.000000
3:@0.472472:0.428044:0.481465:0.428044:0.481465:0.412375:0.472472:0.412375:0.000000
78:@0.509125:0.428044:0.526907:0.428044:0.526907:0.412375:0.509125:0.412375:0.000000:0.000000
+=:@0.459591:0.407977:0.497865:0.407977:0.497865:0.392404:0.459591:0.392404:0.000000:0.000000
+:@0.459596:0.428722:0.469713:0.428722:0.469713:0.413149:0.459596:0.413149:0.000000
=:@0.496138:0.428722:0.506255:0.428722:0.506255:0.413149:0.496138:0.413149:0.000000
Para resolver este sistema de ecuaciones, utilizaremos el método de Cramer.:@0.095800:0.459273:0.651112:0.459273:0.651112:0.443603:0.095800:0.443603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.095800:0.482992:0.105567:0.482992:0.105567:0.465856:0.095800:0.465856:0.000000:0.000000
Hallamos el valor del determinante del sistema.:@0.119535:0.482992:0.465512:0.482992:0.465512:0.467322:0.119535:0.467322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.092241:0.515384:0.104163:0.515384:0.109383:0.499714:0.097460:0.499714:0.000000
=:@0.109778:0.516062:0.119895:0.516062:0.119895:0.500489:0.109778:0.500489:0.000000
3 1:@0.134692:0.508317:0.169539:0.508317:0.169539:0.492647:0.134692:0.492647:0.000000:0.000000:0.000000
5 3:@0.134692:0.526268:0.168968:0.526268:0.168968:0.510599:0.134692:0.510599:0.000000:0.000000:0.000000
=:@0.183332:0.516062:0.193449:0.516062:0.193449:0.500489:0.183332:0.500489:0.000000
9 5 4:@0.195900:0.515384:0.252072:0.515384:0.252072:0.499714:0.195900:0.499714:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.229775:0.516062:0.239892:0.516062:0.239892:0.500489:0.229775:0.500489:0.000000
Shutterstock, 377522251 :@0.920255:0.299421:0.920255:0.223803:0.908867:0.223803:0.908867:0.299421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.095800:0.553036:0.105567:0.553036:0.105567:0.535901:0.095800:0.535901:0.000000:0.000000
Hallamos el valor del determinante :@0.119535:0.553036:0.389251:0.553036:0.389251:0.537367:0.119535:0.537367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de x (∆ ).:@0.119535:0.569633:0.184714:0.569633:0.184714:0.553963:0.119535:0.553963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.169161:0.569633:0.176624:0.569633:0.176624:0.553272:0.169161:0.553272:0.000000
 :@0.095800:0.624788:0.099836:0.624788:0.099836:0.609118:0.095800:0.609118:0.000000
x:@0.130789:0.602960:0.138695:0.602960:0.143914:0.587290:0.136009:0.587290:0.000000
=:@0.144872:0.603639:0.154989:0.603639:0.154989:0.588066:0.144872:0.588066:0.000000
42 1:@0.170523:0.595894:0.214584:0.595894:0.214584:0.580224:0.170523:0.580224:0.000000:0.000000:0.000000:0.000000
78 3:@0.169786:0.613846:0.214013:0.613846:0.214013:0.598176:0.169786:0.598176:0.000000:0.000000:0.000000:0.000000
=:@0.228373:0.603639:0.238490:0.603639:0.238490:0.588066:0.228373:0.588066:0.000000
126 78 48:@0.239780:0.602961:0.331486:0.602961:0.331486:0.587292:0.239780:0.587292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.300398:0.603639:0.310515:0.603639:0.310515:0.588066:0.300398:0.588066:0.000000
• :@0.405300:0.553036:0.415067:0.553036:0.415067:0.535901:0.405300:0.535901:0.000000:0.000000
Hallamos el valor del determinante :@0.429035:0.553036:0.698749:0.553036:0.698749:0.537367:0.429035:0.537367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de y (∆ ).:@0.429035:0.569633:0.494434:0.569633:0.494434:0.553963:0.429035:0.553963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.478863:0.569633:0.486345:0.569633:0.486345:0.553272:0.478863:0.553272:0.000000
 :@0.405300:0.624788:0.409336:0.624788:0.409336:0.609118:0.405300:0.609118:0.000000
y:@0.441995:0.603371:0.450103:0.603371:0.455323:0.587701:0.447215:0.587701:0.000000
=:@0.456864:0.604050:0.466981:0.604050:0.466981:0.588477:0.456864:0.588477:0.000000
3 42:@0.481783:0.596300:0.525589:0.596300:0.525589:0.580630:0.481783:0.580630:0.000000:0.000000:0.000000:0.000000
5 78:@0.481783:0.614256:0.524857:0.614256:0.524857:0.598586:0.481783:0.598586:0.000000:0.000000:0.000000:0.000000
=:@0.540364:0.604050:0.550481:0.604050:0.550481:0.588477:0.540364:0.588477:0.000000
234 210 24:@0.552929:0.603372:0.653483:0.603372:0.653483:0.587703:0.552929:0.587703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.623131:0.604050:0.633248:0.604050:0.633248:0.588477:0.623131:0.588477:0.000000
• :@0.096359:0.635898:0.106126:0.635898:0.106126:0.618762:0.096359:0.618762:0.000000:0.000000
Hallamos los valores de   e  .:@0.120094:0.635898:0.330316:0.635898:0.330316:0.620228:0.120094:0.620228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.295156:0.635898:0.327110:0.635898:0.327110:0.619536:0.295156:0.619536:0.000000:0.000000:0.000000
 :@0.096359:0.749099:0.100395:0.749099:0.100395:0.733429:0.096359:0.733429:0.000000
x:@0.188096:0.675188:0.196001:0.675188:0.201221:0.659518:0.193315:0.659518:0.000000
=:@0.202177:0.675867:0.212294:0.675867:0.212294:0.660294:0.202177:0.660294:0.000000
x:@0.226521:0.666742:0.234426:0.666742:0.239646:0.651072:0.231740:0.651072:0.000000
D:@0.218662:0.686076:0.230584:0.686076:0.235804:0.670407:0.223881:0.670407:0.000000
x:@0.188096:0.711807:0.196001:0.711807:0.201221:0.696137:0.193315:0.696137:0.000000
=:@0.202177:0.712486:0.212294:0.712486:0.212294:0.696913:0.202177:0.696913:0.000000
48:@0.216938:0.703358:0.234720:0.703358:0.234720:0.687688:0.216938:0.687688:0.000000:0.000000
4:@0.221121:0.722693:0.230113:0.722693:0.230113:0.707023:0.221121:0.707023:0.000000
x:@0.188096:0.739978:0.196001:0.739978:0.201221:0.724308:0.193315:0.724308:0.000000
=:@0.202177:0.740657:0.212294:0.740657:0.212294:0.725084:0.202177:0.725084:0.000000
12:@0.213584:0.739979:0.231367:0.739979:0.231367:0.724310:0.213584:0.724310:0.000000:0.000000
y:@0.329265:0.676969:0.337373:0.676969:0.342593:0.661299:0.334485:0.661299:0.000000
=:@0.344132:0.677646:0.354249:0.677646:0.354249:0.662073:0.344132:0.662073:0.000000
y:@0.368476:0.668521:0.376584:0.668521:0.381804:0.652851:0.373695:0.652851:0.000000
D:@0.360985:0.687856:0.372908:0.687856:0.378127:0.672186:0.366204:0.672186:0.000000
y:@0.329265:0.713587:0.337373:0.713587:0.342593:0.697918:0.334485:0.697918:0.000000
=:@0.344132:0.714265:0.354249:0.714265:0.354249:0.698692:0.344132:0.698692:0.000000
24:@0.358155:0.705137:0.375938:0.705137:0.375938:0.689467:0.358155:0.689467:0.000000:0.000000
4:@0.362910:0.724472:0.371902:0.724472:0.371902:0.708802:0.362910:0.708802:0.000000
y:@0.329265:0.741759:0.337373:0.741759:0.342593:0.726089:0.334485:0.726089:0.000000
=:@0.344132:0.742436:0.354249:0.742436:0.354249:0.726863:0.344132:0.726863:0.000000
6:@0.357068:0.741759:0.366061:0.741759:0.366061:0.726089:0.357068:0.726089:0.000000
• :@0.096359:0.772819:0.106126:0.772819:0.106126:0.755683:0.096359:0.755683:0.000000:0.000000
Verificando la solución, tenemos::@0.120094:0.772819:0.360573:0.772819:0.360573:0.757149:0.120094:0.757149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096359:0.892396:0.104430:0.892396:0.104430:0.876726:0.096359:0.876726:0.000000:0.000000
3  +   = 42:@0.127728:0.806150:0.207759:0.806150:0.207759:0.790480:0.127728:0.790480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136721:0.806150:0.144184:0.806150:0.144184:0.789789:0.136721:0.789789:0.000000
y:@0.163238:0.806150:0.170719:0.806150:0.170719:0.789789:0.163238:0.789789:0.000000
3(12) + 6 = 42:@0.127728:0.829869:0.229559:0.829869:0.229559:0.814199:0.127728:0.814199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
42 = 42:@0.127728:0.853588:0.182753:0.853588:0.182753:0.837918:0.127728:0.837918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí se satisface la ecuación.:@0.127728:0.877307:0.316630:0.877307:0.316630:0.861637:0.127728:0.861637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  + 3  = 78:@0.365168:0.806136:0.454192:0.806136:0.454192:0.790466:0.365168:0.790466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.374161:0.806136:0.381624:0.806136:0.381624:0.789775:0.374161:0.789775:0.000000
y:@0.409671:0.806136:0.417152:0.806136:0.417152:0.789775:0.409671:0.789775:0.000000
5(12) + 3(6) = 78:@0.365168:0.829855:0.485758:0.829855:0.485758:0.814185:0.365168:0.814185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
78 = 78:@0.365168:0.853574:0.420193:0.853574:0.420193:0.837904:0.365168:0.837904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí se satisface la ecuación.:@0.365168:0.877293:0.554070:0.877293:0.554070:0.861623:0.365168:0.861623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.910735:0.157020:0.910735:0.157020:0.895622:0.096359:0.895622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se fabrican 12 carteras y 6 billeteras cada semana.:@0.096359:0.934773:0.459912:0.934773:0.459912:0.919104:0.096359:0.919104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Wikimedia Commons, www.wikipedia.org:@0.916414:0.858328:0.916414:0.732741:0.905026:0.732741:0.905026:0.858328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.734707:0.497176:0.892480:0.497176:0.892480:0.481812:0.734707:0.481812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gabriel Cramer fue :@0.733049:0.522950:0.862026:0.522950:0.862026:0.508705:0.733049:0.508705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un matemático :@0.733049:0.538038:0.839175:0.538038:0.839175:0.523793:0.733049:0.523793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suizo, profesor de :@0.733049:0.553126:0.853365:0.553126:0.853365:0.538880:0.733049:0.538880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas de la :@0.733049:0.568213:0.858307:0.568213:0.858307:0.553968:0.733049:0.553968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Universidad de Ginebra :@0.733049:0.583301:0.893219:0.583301:0.893219:0.569056:0.733049:0.569056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
durante el periodo :@0.733049:0.598389:0.861337:0.598389:0.861337:0.584143:0.733049:0.584143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1724-27. En uno de sus :@0.733049:0.613476:0.890555:0.613476:0.890555:0.599231:0.733049:0.599231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tratados publicó la regla :@0.733049:0.628564:0.897640:0.628564:0.897640:0.614319:0.733049:0.614319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Cramer que es un :@0.733049:0.643651:0.875863:0.643651:0.875863:0.629406:0.733049:0.629406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema que se aplica :@0.733049:0.658739:0.883502:0.658739:0.883502:0.644494:0.733049:0.644494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en álgebra lineal. Es :@0.733049:0.673827:0.867117:0.673827:0.867117:0.659581:0.733049:0.659581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de utilidad cuando se :@0.733049:0.688914:0.880772:0.688914:0.880772:0.674669:0.733049:0.674669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
busca resolver sistemas :@0.733049:0.704002:0.892413:0.704002:0.892413:0.689757:0.733049:0.689757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones lineales.:@0.733049:0.719089:0.885375:0.719089:0.885375:0.704844:0.733049:0.704844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinarieda:@0.752214:0.472665:0.890713:0.472665:0.890713:0.455764:0.752214:0.455764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.890180:0.472665:0.900886:0.472665:0.900886:0.455764:0.890180:0.455764:0.000000
Gabriel Cramer.:@0.737136:0.868720:0.819048:0.868720:0.819048:0.857323:0.737136:0.857323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga :@0.730737:0.889939:0.782720:0.889939:0.782720:0.874826:0.730737:0.874826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre Gabriel :@0.782720:0.889939:0.875025:0.889939:0.875025:0.875694:0.782720:0.875694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cramer y :@0.730737:0.905027:0.794329:0.905027:0.794329:0.890781:0.730737:0.890781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona :@0.794329:0.905027:0.882246:0.905027:0.882246:0.889914:0.794329:0.889914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una ficha bibliográfica.:@0.730737:0.920114:0.881306:0.920114:0.881306:0.905869:0.730737:0.905869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000