﻿141:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Solución gráfica de un sistema de ecuaciones lineales:@0.096359:0.136304:0.648496:0.136304:0.648496:0.114495:0.096359:0.114495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una panadería, Esteban pagó $ 7 por la compra de 5 panes y un queso; mien-:@0.096359:0.159085:0.694611:0.159085:0.694611:0.143415:0.096359:0.143415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tras que Elena pagó $ 8 por la compra de 2 panes y 3 quesos de la misma calidad. :@0.096359:0.175681:0.698722:0.175681:0.698722:0.160012:0.096359:0.160012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto cuesta cada pan y cada queso?:@0.096359:0.192278:0.388142:0.192278:0.388142:0.176608:0.096359:0.176608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formamos el sistema de ecuaciones, consideramos como  el precio del pan, :@0.096359:0.215997:0.698792:0.215997:0.698792:0.200327:0.096359:0.200327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.538287:0.215997:0.551794:0.215997:0.551794:0.199636:0.538287:0.199636:0.000000:0.000000
mientras que   es el precio del queso.:@0.096359:0.232593:0.370927:0.232593:0.370927:0.216923:0.096359:0.216923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.197269:0.232593:0.204750:0.232593:0.204750:0.216232:0.197269:0.216232:0.000000
5  +   = 7:@0.216986:0.256312:0.288025:0.256312:0.288025:0.240642:0.216986:0.240642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.225979:0.256312:0.233442:0.256312:0.233442:0.239951:0.225979:0.239951:0.000000
y:@0.252496:0.256312:0.259978:0.256312:0.259978:0.239951:0.252496:0.239951:0.000000
2  + 3  = 8:@0.216986:0.280031:0.297017:0.280031:0.297017:0.264361:0.216986:0.264361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.225979:0.280031:0.233442:0.280031:0.233442:0.263670:0.225979:0.263670:0.000000
y:@0.261489:0.280031:0.268971:0.280031:0.268971:0.263670:0.261489:0.263670:0.000000
• :@0.096359:0.303750:0.106126:0.303750:0.106126:0.286614:0.096359:0.286614:0.000000:0.000000
Graficamos las dos ecuaciones del sistema en el plano cartesiano. Para ello, obte-:@0.120094:0.303750:0.694686:0.303750:0.694686:0.288080:0.120094:0.288080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nemos dos puntos de cada recta.:@0.120094:0.320346:0.362524:0.320346:0.362524:0.304677:0.120094:0.304677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  +   = 7:@0.120094:0.341299:0.191132:0.341299:0.191132:0.325630:0.120094:0.325630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129086:0.341299:0.136550:0.341299:0.136550:0.324938:0.129086:0.324938:0.000000
y:@0.155604:0.341299:0.163085:0.341299:0.163085:0.324938:0.155604:0.324938:0.000000
Si   = 0;  5(0) +   = 7;   = 7:@0.120094:0.362252:0.311741:0.362252:0.311741:0.346583:0.120094:0.346583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136531:0.362252:0.143994:0.362252:0.143994:0.345891:0.136531:0.345891:0.000000
y:@0.230125:0.362252:0.237607:0.362252:0.237607:0.345891:0.230125:0.345891:0.000000
 y:@0.272896:0.362252:0.283694:0.362252:0.283694:0.345891:0.272896:0.345891:0.000000:0.000000
Si   = 0;  5  + 0 = 7;    = 7/5:@0.120094:0.383205:0.318136:0.383205:0.318136:0.367535:0.120094:0.367535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.136531:0.383205:0.144013:0.383205:0.144013:0.366844:0.136531:0.366844:0.000000
x:@0.192330:0.383205:0.199793:0.383205:0.199793:0.366844:0.192330:0.366844:0.000000
x:@0.267165:0.383205:0.274628:0.383205:0.274628:0.366844:0.267165:0.366844:0.000000
 :@0.096359:0.406924:0.100395:0.406924:0.100395:0.391254:0.096359:0.391254:0.000000
Los dos puntos por donde pasa la primera recta son: (0, 7) y (7/5, 0):@0.120094:0.406924:0.609086:0.406924:0.609086:0.391254:0.120094:0.391254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3 = 8:@0.120094:0.427877:0.199406:0.427877:0.199406:0.412207:0.120094:0.412207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129086:0.427877:0.136550:0.427877:0.136550:0.411516:0.129086:0.411516:0.000000
y :@0.164596:0.427877:0.175395:0.427877:0.175395:0.411516:0.164596:0.411516:0.000000:0.000000
Si   = 0;  2(0) + 3  = 8;   = 8/3:@0.120094:0.448830:0.336195:0.448830:0.336195:0.433160:0.120094:0.433160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136531:0.448830:0.143994:0.448830:0.143994:0.432469:0.136531:0.432469:0.000000
y:@0.239118:0.448830:0.246599:0.448830:0.246599:0.432469:0.239118:0.432469:0.000000
 y:@0.281888:0.448830:0.292687:0.448830:0.292687:0.432469:0.281888:0.432469:0.000000:0.000000
Si  = 0;  2  + 3(0) = 8;    = 4:@0.120094:0.469783:0.320715:0.469783:0.320715:0.454113:0.120094:0.454113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.132496:0.469783:0.143294:0.469783:0.143294:0.453422:0.132496:0.453422:0.000000:0.000000
x:@0.191611:0.469783:0.199075:0.469783:0.199075:0.453422:0.191611:0.453422:0.000000
x:@0.285205:0.469783:0.292669:0.469783:0.292669:0.453422:0.285205:0.453422:0.000000
 :@0.096359:0.493502:0.100395:0.493502:0.100395:0.477832:0.096359:0.477832:0.000000
Los puntos por donde pasa la segunda recta son: (0, 8/3) y (4, 0):@0.120094:0.493502:0.584817:0.493502:0.584817:0.477832:0.120094:0.477832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.120102:0.511904:0.184314:0.511904:0.184314:0.496791:0.120102:0.496791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.535943:0.100395:0.535943:0.100395:0.520274:0.096359:0.520274:0.000000
El punto donde se cortan las gráficas son la solución del sistema.:@0.120094:0.535943:0.580564:0.535943:0.580564:0.520274:0.120094:0.520274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.559662:0.100395:0.559662:0.100395:0.543993:0.096359:0.543993:0.000000
La solución en este caso es:   = 1,   = 2:@0.120094:0.559662:0.402202:0.559662:0.402202:0.543993:0.120094:0.543993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.323922:0.559662:0.331385:0.559662:0.331385:0.543301:0.323922:0.543301:0.000000
y:@0.366674:0.559662:0.374156:0.559662:0.374156:0.543301:0.366674:0.543301:0.000000
Por lo tanto, cada pan cuesta $ 1 y cada queso $ 2.:@0.120094:0.583381:0.487357:0.583381:0.487357:0.567712:0.120094:0.567712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de ecuaciones lineales se clasifican en compatibles determinados, :@0.096359:0.678285:0.698758:0.678285:0.698758:0.662615:0.096359:0.662615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatibles indeterminados e incompatibles.:@0.096359:0.694881:0.432971:0.694881:0.432971:0.679212:0.096359:0.679212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.110323:0.622008:0.130981:0.622008:0.130981:0.606338:0.110323:0.606338:0.000000:0.000000:0.000000
solución :@0.131589:0.622008:0.202627:0.622008:0.202627:0.605108:0.131589:0.605108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un sistema de ecuaciones lineales por el método gráfico está :@0.203199:0.622008:0.682345:0.622008:0.682345:0.606338:0.203199:0.606338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada por el :@0.106988:0.638605:0.251975:0.638605:0.251975:0.622935:0.106988:0.622935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de intersección:@0.251975:0.638605:0.425101:0.638605:0.425101:0.621704:0.251975:0.621704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de las dos:@0.425101:0.638605:0.502018:0.638605:0.502018:0.622935:0.425101:0.622935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 rectas.:@0.502018:0.638605:0.557945:0.638605:0.557945:0.621704:0.502018:0.621704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible determinado:@0.107197:0.723779:0.354830:0.723779:0.354830:0.708201:0.107197:0.708201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible indeterminado:@0.373493:0.723779:0.625148:0.723779:0.625148:0.708201:0.373493:0.708201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema incompatible:@0.686998:0.723779:0.848238:0.723779:0.848238:0.708201:0.686998:0.708201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las dos :@0.103562:0.868922:0.156533:0.868922:0.156533:0.854677:0.103562:0.854677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas:@0.156533:0.868922:0.200140:0.868922:0.200140:0.853558:0.156533:0.853558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son :@0.200140:0.868922:0.231617:0.868922:0.231617:0.854677:0.200140:0.854677:0.000000:0.000000:0.000000:0.000000:0.000000
secantes:@0.231617:0.868922:0.294186:0.868922:0.294186:0.853558:0.231617:0.853558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y tienen  Las dos :@0.294186:0.868922:0.424839:0.869978:0.424839:0.855733:0.294186:0.854677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un solo punto:@0.103562:0.884010:0.203857:0.884010:0.203857:0.868645:0.103562:0.868645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.203857:0.884010:0.228299:0.884010:0.228299:0.869764:0.203857:0.869764:0.000000:0.000000:0.000000:0.000000
común:@0.228299:0.884010:0.278439:0.884010:0.278439:0.868645:0.228299:0.868645:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.278439:0.884010:0.281353:0.884010:0.281353:0.869764:0.278439:0.869764:0.000000
El sistema tiene :@0.103562:0.902655:0.210357:0.902655:0.210357:0.888410:0.103562:0.888410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
única solución:@0.210357:0.902655:0.314372:0.902655:0.314372:0.887291:0.210357:0.887291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.314372:0.902655:0.317287:0.902655:0.317287:0.888410:0.314372:0.888410:0.000000
rectas:@0.424839:0.869978:0.468446:0.869978:0.468446:0.854614:0.424839:0.854614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son :@0.468446:0.869978:0.499924:0.869978:0.499924:0.855733:0.468446:0.855733:0.000000:0.000000:0.000000:0.000000:0.000000
coincidente:@0.499924:0.869978:0.584723:0.869978:0.584723:0.854614:0.499924:0.854614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.584723:0.869978:0.591993:0.869978:0.591993:0.854400:0.584723:0.854400:0.000000
, :@0.591993:0.869978:0.598577:0.869978:0.598577:0.855733:0.591993:0.855733:0.000000:0.000000
tienen :@0.371868:0.885066:0.418423:0.885066:0.418423:0.870820:0.371868:0.870820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los puntos comunes:@0.418423:0.885066:0.607774:0.885066:0.607774:0.869701:0.418423:0.869701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.607774:0.885066:0.614358:0.885066:0.614358:0.870820:0.607774:0.870820:0.000000:0.000000
Todas las soluciones de una de las :@0.371868:0.900153:0.601728:0.900153:0.601728:0.885908:0.371868:0.885908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones son también de la otra.:@0.371868:0.915241:0.603990:0.915241:0.603990:0.900996:0.371868:0.900996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema tiene :@0.371868:0.933887:0.478663:0.933887:0.478663:0.919641:0.371868:0.919641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinitas soluciones:@0.478663:0.933887:0.617356:0.933887:0.617356:0.918522:0.478663:0.918522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.617356:0.933887:0.620271:0.933887:0.620271:0.919641:0.617356:0.919641:0.000000
Las dos rectas son paralelas :@0.640175:0.869978:0.826076:0.869978:0.826076:0.855733:0.640175:0.855733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tienen:@0.826009:0.869978:0.895062:0.869978:0.895062:0.854614:0.826009:0.854614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.895062:0.869978:0.898731:0.869978:0.898731:0.855733:0.895062:0.855733:0.000000
ningún :@0.640175:0.885066:0.692291:0.885066:0.692291:0.870820:0.640175:0.870820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto:@0.692291:0.885066:0.736349:0.885066:0.736349:0.869701:0.692291:0.869701:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.736349:0.885066:0.760790:0.885066:0.760790:0.870820:0.736349:0.870820:0.000000:0.000000:0.000000:0.000000
común:@0.760790:0.885066:0.810930:0.885066:0.810930:0.869701:0.760790:0.869701:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.810930:0.885066:0.813845:0.885066:0.813845:0.870820:0.810930:0.870820:0.000000
El sistema :@0.640175:0.903711:0.709394:0.903711:0.709394:0.889466:0.640175:0.889466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene solución:@0.709394:0.903711:0.833513:0.903711:0.833513:0.888347:0.709394:0.888347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.833513:0.903711:0.836427:0.903711:0.836427:0.889466:0.833513:0.889466:0.000000
f(x):@0.453937:0.751997:0.472346:0.751997:0.472346:0.739176:0.453937:0.739176:0.000000:0.000000:0.000000:0.000000
0:@0.472209:0.826389:0.478749:0.826389:0.478749:0.814993:0.472209:0.814993:0.000000
x:@0.599041:0.821674:0.605510:0.821674:0.605510:0.808853:0.599041:0.808853:0.000000
f(x):@0.728176:0.751997:0.746585:0.751997:0.746585:0.739176:0.728176:0.739176:0.000000:0.000000:0.000000:0.000000
0:@0.746447:0.826389:0.752988:0.826389:0.752988:0.814993:0.746447:0.814993:0.000000
f(x):@0.781612:0.377376:0.795746:0.377376:0.795746:0.367532:0.781612:0.367532:0.000000:0.000000:0.000000:0.000000
0:@0.795639:0.462363:0.800660:0.462363:0.800660:0.453613:0.795639:0.453613:0.000000
1:@0.818842:0.464711:0.823863:0.464711:0.823863:0.455961:0.818842:0.455961:0.000000
1:@0.793540:0.444570:0.798561:0.444570:0.798561:0.435821:0.793540:0.435821:0.000000
–1:@0.788395:0.471885:0.798561:0.471885:0.798561:0.463135:0.788395:0.463135:0.000000:0.000000
–2:@0.788395:0.485569:0.798561:0.485569:0.798561:0.476819:0.788395:0.476819:0.000000:0.000000
2:@0.793540:0.430894:0.798561:0.430894:0.798561:0.422144:0.793540:0.422144:0.000000
3:@0.793540:0.417210:0.798561:0.417210:0.798561:0.408460:0.793540:0.408460:0.000000
4:@0.793540:0.403526:0.798561:0.403526:0.798561:0.394776:0.793540:0.394776:0.000000
5:@0.793540:0.389841:0.798561:0.389841:0.798561:0.381092:0.793540:0.381092:0.000000
–1:@0.779804:0.464703:0.789970:0.464703:0.789970:0.455953:0.779804:0.455953:0.000000:0.000000
–2:@0.761571:0.464703:0.771737:0.464703:0.771737:0.455953:0.761571:0.455953:0.000000:0.000000
–3:@0.743338:0.464703:0.753504:0.464703:0.753504:0.455953:0.743338:0.455953:0.000000:0.000000
–4:@0.725105:0.464703:0.735271:0.464703:0.735271:0.455953:0.725105:0.455953:0.000000:0.000000
2:@0.837054:0.464703:0.842076:0.464703:0.842076:0.455953:0.837054:0.455953:0.000000
3:@0.855287:0.464703:0.860309:0.464703:0.860309:0.455953:0.855287:0.455953:0.000000
4:@0.873520:0.464703:0.878542:0.464703:0.878542:0.455953:0.873520:0.455953:0.000000
x:@0.896663:0.458743:0.901629:0.458743:0.901629:0.448900:0.896663:0.448900:0.000000
5x+y = 7:@0.816813:0.393645:0.859997:0.393641:0.859997:0.383798:0.816813:0.383802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.827432:0.395629:0.828910:0.395629:0.828910:0.389890:0.827432:0.389890:0.000000
 :@0.835808:0.395629:0.837286:0.395629:0.837286:0.389890:0.835808:0.389890:0.000000
2x+3y = 8:@0.731171:0.415483:0.780001:0.415480:0.780001:0.405636:0.731171:0.405639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.741787:0.417467:0.743265:0.417467:0.743265:0.411728:0.741787:0.411728:0.000000
 :@0.750163:0.417467:0.751641:0.417467:0.751641:0.411728:0.750163:0.411728:0.000000
A(1, 2):@0.827288:0.427278:0.856042:0.427278:0.856042:0.417434:0.827288:0.417434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.190383:0.751997:0.208793:0.751997:0.208793:0.739176:0.190383:0.739176:0.000000:0.000000:0.000000:0.000000
0:@0.208655:0.826389:0.215195:0.826389:0.215195:0.814993:0.208655:0.814993:0.000000
x:@0.335488:0.821674:0.341956:0.821674:0.341956:0.808853:0.335488:0.808853:0.000000
A:@0.191667:0.778425:0.200487:0.778425:0.200487:0.765605:0.191667:0.765605:0.000000
Un buen consumidor utiliza :@0.724026:0.301130:0.894187:0.301130:0.894187:0.288309:0.724026:0.288309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las matemáticas en cualquier :@0.724026:0.314709:0.901422:0.314709:0.901422:0.301888:0.724026:0.301888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacción.:@0.724026:0.328288:0.795854:0.328288:0.795854:0.315467:0.724026:0.315467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 10764127:@0.920815:0.285129:0.920815:0.214845:0.909426:0.214845:0.909426:0.285129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un sistema de dos :@0.733044:0.578602:0.859221:0.578602:0.859221:0.564357:0.733044:0.564357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones de primer :@0.733044:0.593690:0.881217:0.593690:0.881217:0.579445:0.733044:0.579445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grado con dos :@0.733044:0.608778:0.833240:0.608778:0.833240:0.594532:0.733044:0.594532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas también se :@0.733044:0.623865:0.884134:0.623865:0.884134:0.609620:0.733044:0.609620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede llamar sistema :@0.733044:0.638953:0.879056:0.638953:0.879056:0.624708:0.733044:0.624708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ecuaciones lineales :@0.733044:0.654040:0.886312:0.654040:0.886312:0.639795:0.733044:0.639795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2   2.:@0.733044:0.669128:0.773601:0.669128:0.773601:0.654883:0.733044:0.654883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.744888:0.669656:0.758843:0.669656:0.758843:0.653651:0.744888:0.653651:0.000000
¿Sabías que?:@0.765616:0.554091:0.867484:0.554091:0.867484:0.537191:0.765616:0.537191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.870904:0.821740:0.877372:0.821740:0.877372:0.808920:0.870904:0.808920:0.000000
 ©:@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
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