59:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.3 Solución gráfica de un sistema de ecuaciones lineales:@0.073089:0.136836:0.518703:0.136836:0.518703:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una panadería, Esteban pagó $7 por la compra de 5 panes y un queso, mientras que :@0.073089:0.167776:0.710366:0.167776:0.710366:0.151342:0.073089:0.151342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elena pagó $8 por la compra de 2 panes y 3 quesos de la misma calidad. ¿Cuánto cuesta :@0.073089:0.184418:0.710366:0.184418:0.710366:0.167984:0.073089:0.167984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada pan y cada queso?:@0.073089:0.201060:0.247921:0.201060:0.247921:0.184626:0.073089:0.184626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formamos el sistema de ecuaciones, consideramos como  el precio del pan, mientras :@0.073089:0.224844:0.710348:0.224844:0.710348:0.208410:0.073089:0.208410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.496308:0.224844:0.507298:0.224844:0.507298:0.208438:0.496308:0.208438:0.000000:0.000000
que   es el precio del queso.:@0.073089:0.241486:0.279263:0.241486:0.279263:0.225052:0.073089:0.225052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.105799:0.241486:0.113272:0.241486:0.113272:0.225080:0.105799:0.225080:0.000000
5  +   = 7:@0.193583:0.265277:0.264533:0.265277:0.264533:0.248843:0.193583:0.248843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.202556:0.265277:0.210011:0.265277:0.210011:0.248871:0.202556:0.248871:0.000000
y:@0.229044:0.265277:0.236517:0.265277:0.236517:0.248871:0.229044:0.248871:0.000000
2  + 3  = 8:@0.193583:0.289066:0.273516:0.289066:0.273516:0.272632:0.193583:0.272632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.202556:0.289066:0.210011:0.289066:0.210011:0.272660:0.202556:0.272660:0.000000
y:@0.238027:0.289066:0.245500:0.289066:0.245500:0.272660:0.238027:0.272660:0.000000
•:@0.073089:0.312856:0.078280:0.312856:0.078280:0.296187:0.073089:0.296187:0.000000
Graficamos las dos ecuaciones del sistema en el plano cartesiano. Para ello,:@0.103472:0.312856:0.706654:0.312856:0.706654:0.296187:0.103472:0.296187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos dos puntos de cada recta.:@0.103214:0.329498:0.386682:0.329498:0.386682:0.312829:0.103214:0.312829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  +   = 7:@0.125266:0.349718:0.195545:0.349718:0.195545:0.333284:0.125266:0.333284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134175:0.349718:0.141630:0.349718:0.141630:0.333312:0.134175:0.333312:0.000000
y:@0.160350:0.349718:0.167824:0.349718:0.167824:0.333312:0.160350:0.333312:0.000000
Si   = 0;  5(0) +   = 7;   = 7:@0.125266:0.369938:0.314364:0.369938:0.314364:0.353504:0.125266:0.353504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.141446:0.369938:0.148901:0.369938:0.148901:0.353532:0.141446:0.353532:0.000000
y:@0.233740:0.369938:0.241213:0.369938:0.241213:0.353532:0.233740:0.353532:0.000000
 y:@0.275911:0.369938:0.286624:0.369938:0.286624:0.353532:0.275911:0.353532:0.000000:0.000000
Si   = 0;  5  + 0 = 7;    = 7/5:@0.125266:0.390158:0.320733:0.390158:0.320733:0.373724:0.125266:0.373724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.141446:0.390158:0.148919:0.390158:0.148919:0.373752:0.141446:0.373752:0.000000
x:@0.196465:0.390158:0.203920:0.390158:0.203920:0.373752:0.196465:0.373752:0.000000
x:@0.270260:0.390158:0.277715:0.390158:0.277715:0.373752:0.270260:0.373752:0.000000
Los dos puntos por donde pasa la primera recta son (0, 7) y (7/5, 0):@0.125248:0.413942:0.605524:0.413942:0.605524:0.397508:0.125248:0.397508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3 = 8:@0.125248:0.434161:0.203718:0.434161:0.203718:0.417728:0.125248:0.417728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.134157:0.434161:0.141612:0.434161:0.141612:0.417755:0.134157:0.417755:0.000000
y :@0.169223:0.434161:0.179936:0.434161:0.179936:0.417755:0.169223:0.417755:0.000000:0.000000
Si   = 0;  2(0) + 3  = 8;   = 8/3:@0.125248:0.454381:0.338532:0.454381:0.338532:0.437948:0.125248:0.437948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.141428:0.454381:0.148883:0.454381:0.148883:0.437975:0.141428:0.437975:0.000000
y:@0.242612:0.454381:0.250086:0.454381:0.250086:0.437975:0.242612:0.437975:0.000000
 y:@0.284783:0.454381:0.295496:0.454381:0.295496:0.437975:0.284783:0.437975:0.000000:0.000000
Si  = 0;  2  + 3(0) = 8;    = 4:@0.125248:0.474601:0.323218:0.474601:0.323218:0.458167:0.125248:0.458167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.137470:0.474601:0.148183:0.474601:0.148183:0.458195:0.137470:0.458195:0.000000:0.000000
x:@0.195747:0.474601:0.203202:0.474601:0.203202:0.458195:0.195747:0.458195:0.000000
x:@0.288041:0.474601:0.295496:0.474601:0.295496:0.458195:0.288041:0.458195:0.000000
Los puntos por donde pasa la segunda recta son (0, 8/3) y (4, 0).:@0.125248:0.498385:0.584702:0.498385:0.584702:0.481951:0.125248:0.481951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.073063:0.525747:0.139716:0.525747:0.139716:0.509077:0.073063:0.509077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.139716:0.525747:0.143747:0.525747:0.143747:0.509313:0.139716:0.509313:0.000000
El punto donde se cortan las gráficas es la solución del sistema.:@0.073063:0.549531:0.517250:0.549531:0.517250:0.533097:0.073063:0.533097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La solución en este caso es:   = 1,   = 2.:@0.073063:0.569751:0.354805:0.569751:0.354805:0.553317:0.073063:0.553317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.274328:0.569751:0.281783:0.569751:0.281783:0.553345:0.274328:0.553345:0.000000
y:@0.316481:0.569751:0.323954:0.569751:0.323954:0.553345:0.316481:0.553345:0.000000
Por lo tanto, cada pan cuesta $1 y cada queso $2.:@0.073045:0.589971:0.428284:0.589971:0.428284:0.573537:0.073045:0.573537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de ecuaciones lineales se clasifican en compatibles determinados, com-:@0.073045:0.672057:0.706291:0.672057:0.706291:0.655623:0.073045:0.655623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patibles indeterminados e incompatibles.:@0.073045:0.688698:0.376207:0.688698:0.376207:0.672265:0.073045:0.672265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La :@0.084249:0.623769:0.104884:0.623769:0.104884:0.607335:0.084249:0.607335:0.000000:0.000000:0.000000
solución :@0.105201:0.623769:0.176161:0.623769:0.176161:0.606822:0.105201:0.606822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un sistema de ecuaciones lineales por el método gráfico está deter-:@0.176455:0.623769:0.696700:0.623769:0.696700:0.607335:0.176455:0.607335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minada por el :@0.084235:0.640411:0.190058:0.640411:0.190058:0.623977:0.084235:0.623977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de intersección:@0.190058:0.640411:0.362993:0.640411:0.362993:0.623464:0.190058:0.623464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de las dos:@0.362993:0.640411:0.439825:0.640411:0.439825:0.623977:0.362993:0.623977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 rectas.:@0.439825:0.640411:0.495691:0.640411:0.495691:0.623464:0.439825:0.623464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible determinado:@0.096882:0.721285:0.335397:0.721285:0.335397:0.705879:0.096882:0.705879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible indeterminado:@0.374110:0.721285:0.626348:0.721285:0.626348:0.705879:0.374110:0.705879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema incompatible:@0.706727:0.721285:0.861877:0.721285:0.861877:0.705879:0.706727:0.705879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las dos :@0.088296:0.866828:0.141208:0.866828:0.141208:0.851888:0.088296:0.851888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas:@0.141208:0.866828:0.184767:0.866828:0.184767:0.851421:0.141208:0.851421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son :@0.184767:0.866828:0.216210:0.866828:0.216210:0.851888:0.184767:0.851888:0.000000:0.000000:0.000000:0.000000:0.000000
secantes:@0.216210:0.866828:0.278711:0.866828:0.278711:0.851421:0.216210:0.851421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y tienen :@0.278711:0.866828:0.339906:0.866828:0.339906:0.851888:0.278711:0.851888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un solo punto:@0.088296:0.881957:0.188480:0.881957:0.188480:0.866550:0.088296:0.866550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.188480:0.881957:0.212895:0.881957:0.212895:0.867017:0.188480:0.867017:0.000000:0.000000:0.000000:0.000000
común:@0.212895:0.881957:0.262979:0.881957:0.262979:0.866550:0.212895:0.866550:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.262979:0.881957:0.265891:0.881957:0.265891:0.867017:0.262979:0.867017:0.000000
El sistema tiene :@0.088296:0.900654:0.194922:0.900654:0.194922:0.885714:0.088296:0.885714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
única solución:@0.194922:0.900654:0.298823:0.900654:0.298823:0.885247:0.194922:0.885247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.298823:0.900654:0.301735:0.900654:0.301735:0.885714:0.298823:0.885714:0.000000
Las dos :@0.372387:0.867887:0.425299:0.867887:0.425299:0.852947:0.372387:0.852947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectas:@0.425299:0.867887:0.468858:0.867887:0.468858:0.852480:0.425299:0.852480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son :@0.468858:0.867887:0.500300:0.867887:0.500300:0.852947:0.468858:0.852947:0.000000:0.000000:0.000000:0.000000:0.000000
coincidente:@0.500300:0.867887:0.585007:0.867887:0.585007:0.852480:0.500300:0.852480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.585007:0.867887:0.592270:0.867887:0.592270:0.852266:0.585007:0.852266:0.000000
, :@0.592270:0.867887:0.598846:0.867887:0.598846:0.852947:0.592270:0.852947:0.000000:0.000000
tienen :@0.372387:0.883016:0.418890:0.883016:0.418890:0.868076:0.372387:0.868076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos los puntos comunes:@0.418890:0.883016:0.608031:0.883016:0.608031:0.867609:0.418890:0.867609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.608031:0.883016:0.614608:0.883016:0.614608:0.868076:0.608031:0.868076:0.000000:0.000000
Todas las soluciones de una de las :@0.372387:0.898145:0.601992:0.898145:0.601992:0.883205:0.372387:0.883205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones son también de la otra.:@0.372387:0.913274:0.604251:0.913274:0.604251:0.898334:0.372387:0.898334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema tiene :@0.372387:0.931970:0.479013:0.931970:0.479013:0.917031:0.372387:0.917031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinitas soluciones:@0.479013:0.931970:0.617553:0.931970:0.617553:0.916564:0.479013:0.916564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.617553:0.931970:0.620465:0.931970:0.620465:0.917031:0.617553:0.917031:0.000000
Las dos rectas son paralelas. :@0.656478:0.867887:0.845165:0.867887:0.845165:0.852947:0.656478:0.852947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No tienen:@0.845165:0.867887:0.915950:0.867887:0.915950:0.852480:0.845165:0.852480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.915950:0.867887:0.919614:0.867887:0.919614:0.852947:0.915950:0.852947:0.000000
ningún :@0.656478:0.883016:0.708537:0.883016:0.708537:0.868076:0.656478:0.868076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto:@0.708537:0.883016:0.752547:0.883016:0.752547:0.867609:0.708537:0.867609:0.000000:0.000000:0.000000:0.000000:0.000000
 en :@0.752547:0.883016:0.776961:0.883016:0.776961:0.868076:0.752547:0.868076:0.000000:0.000000:0.000000:0.000000
común:@0.776961:0.883016:0.827046:0.883016:0.827046:0.867609:0.776961:0.867609:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.827046:0.883016:0.829958:0.883016:0.829958:0.868076:0.827046:0.868076:0.000000
El sistema :@0.656478:0.901713:0.725570:0.901713:0.725570:0.886773:0.656478:0.886773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene solución:@0.725570:0.901713:0.849551:0.901713:0.849551:0.886306:0.725570:0.886306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.849551:0.901713:0.852463:0.901713:0.852463:0.886773:0.849551:0.886773:0.000000
f(x):@0.459918:0.752993:0.478307:0.752993:0.478307:0.739547:0.459918:0.739547:0.000000:0.000000:0.000000:0.000000
0:@0.478169:0.827588:0.484702:0.827588:0.484702:0.815636:0.478169:0.815636:0.000000
x:@0.604862:0.822861:0.611322:0.822861:0.611322:0.809415:0.604862:0.809415:0.000000
f(x):@0.743339:0.753291:0.761728:0.753291:0.761728:0.739846:0.743339:0.739846:0.000000:0.000000:0.000000:0.000000
0:@0.761591:0.827886:0.768124:0.827886:0.768124:0.815934:0.761591:0.815934:0.000000
f(x):@0.800624:0.365634:0.814743:0.365634:0.814743:0.355311:0.800624:0.355311:0.000000:0.000000:0.000000:0.000000
0:@0.814636:0.450853:0.819651:0.450853:0.819651:0.441677:0.814636:0.441677:0.000000
1:@0.837813:0.453207:0.842828:0.453207:0.842828:0.444031:0.837813:0.444031:0.000000
1:@0.812539:0.433012:0.817555:0.433012:0.817555:0.423836:0.812539:0.423836:0.000000
–1:@0.807400:0.460401:0.817555:0.460401:0.817555:0.451225:0.807400:0.451225:0.000000:0.000000
–2:@0.807400:0.474123:0.817555:0.474123:0.817555:0.464946:0.807400:0.464946:0.000000:0.000000
2:@0.812539:0.419298:0.817555:0.419298:0.817555:0.410122:0.812539:0.410122:0.000000
3:@0.812539:0.405576:0.817555:0.405576:0.817555:0.396400:0.812539:0.396400:0.000000
4:@0.812539:0.391855:0.817555:0.391855:0.817555:0.382678:0.812539:0.382678:0.000000
5:@0.812539:0.378133:0.817555:0.378133:0.817555:0.368957:0.812539:0.368957:0.000000
–1:@0.798818:0.453200:0.808972:0.453200:0.808972:0.444023:0.798818:0.444023:0.000000:0.000000
–2:@0.780605:0.453200:0.790760:0.453200:0.790760:0.444023:0.780605:0.444023:0.000000:0.000000
–3:@0.762392:0.453200:0.772547:0.453200:0.772547:0.444023:0.762392:0.444023:0.000000:0.000000
–4:@0.744179:0.453200:0.754334:0.453200:0.754334:0.444023:0.744179:0.444023:0.000000:0.000000
2:@0.856005:0.453200:0.861021:0.453200:0.861021:0.444023:0.856005:0.444023:0.000000
3:@0.874218:0.453200:0.879234:0.453200:0.879234:0.444023:0.874218:0.444023:0.000000
4:@0.892431:0.453200:0.897446:0.453200:0.897446:0.444023:0.892431:0.444023:0.000000
x:@0.915548:0.447225:0.920508:0.447225:0.920508:0.436901:0.915548:0.436901:0.000000
5x+y = 7:@0.835786:0.381949:0.878922:0.381945:0.878922:0.371621:0.835786:0.371625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.846393:0.383937:0.847869:0.383937:0.847869:0.377919:0.846393:0.377919:0.000000
 :@0.854760:0.383937:0.856236:0.383937:0.856236:0.377919:0.854760:0.377919:0.000000
2x+3y = 8:@0.750238:0.403846:0.799015:0.403841:0.799015:0.393518:0.750238:0.393522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.760843:0.405834:0.762319:0.405834:0.762319:0.399816:0.760843:0.399816:0.000000
 :@0.769210:0.405834:0.770686:0.405834:0.770686:0.399816:0.769210:0.399816:0.000000
A(1, 2):@0.846250:0.415672:0.874972:0.415672:0.874972:0.405348:0.846250:0.405348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.173498:0.752638:0.191886:0.752638:0.191886:0.739192:0.173498:0.739192:0.000000:0.000000:0.000000:0.000000
0:@0.191748:0.827233:0.198280:0.827233:0.198280:0.815281:0.191748:0.815281:0.000000
x:@0.318441:0.822505:0.324902:0.822505:0.324902:0.809059:0.318441:0.809059:0.000000
A:@0.174779:0.779138:0.183590:0.779138:0.183590:0.765692:0.174779:0.765692:0.000000
Un buen consumidor utiliza :@0.734802:0.305850:0.904774:0.305850:0.904774:0.292405:0.734802:0.292405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las matemáticas en cualquier :@0.734802:0.319466:0.912002:0.319466:0.912002:0.306021:0.734802:0.306021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacción.:@0.734802:0.333083:0.806550:0.333083:0.806550:0.319637:0.734802:0.319637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.847337:0.827933:0.853798:0.827933:0.853798:0.814487:0.847337:0.814487:0.000000
(Ev.) Identifica gráficamente las soluciones de un sistema de ecuaciones.:@0.077317:0.970640:0.455940:0.970640:0.455940:0.958688:0.077317:0.958688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000