﻿73:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución gráfica de un sistema de ecuaciones lineales:@0.096359:0.101664:0.557073:0.101664:0.557073:0.083227:0.096359:0.083227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una panadería, Esteban pagó $7 por la compra de 5 panes y un queso; mientras :@0.096359:0.132201:0.716576:0.132201:0.716576:0.115813:0.096359:0.115813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que Elena pagó $8 por la compra de 2 panes y 3 quesos de la misma calidad. ¿Cuánto :@0.096359:0.148798:0.716431:0.148798:0.716431:0.132409:0.096359:0.132409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuesta cada pan y cada queso?:@0.096359:0.165394:0.323295:0.165394:0.323295:0.149005:0.096359:0.149005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formamos el sistema de ecuaciones. Consideramos como  el precio del pan, :@0.096359:0.189113:0.716521:0.189113:0.716521:0.172724:0.096359:0.172724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.549087:0.189113:0.563774:0.189113:0.563774:0.173720:0.549087:0.173720:0.000000:0.000000
mientras que   es el precio del queso.:@0.096359:0.205710:0.370927:0.205710:0.370927:0.189321:0.096359:0.189321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.197269:0.205710:0.204750:0.205710:0.204750:0.190316:0.197269:0.190316:0.000000
5  +   = 7:@0.359484:0.227110:0.430522:0.227110:0.430522:0.210721:0.359484:0.210721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368477:0.227110:0.375940:0.227110:0.375940:0.211717:0.368477:0.211717:0.000000
y:@0.394994:0.227110:0.402476:0.227110:0.402476:0.211717:0.394994:0.211717:0.000000
2  + 3  = 8:@0.359484:0.250829:0.439515:0.250829:0.439515:0.234440:0.359484:0.234440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.368477:0.250829:0.375940:0.250829:0.375940:0.235436:0.368477:0.235436:0.000000
y:@0.403987:0.250829:0.411468:0.250829:0.411468:0.235436:0.403987:0.235436:0.000000
• :@0.096356:0.272114:0.105938:0.272114:0.105938:0.255213:0.096356:0.255213:0.000000:0.000000
Graficamos las dos ecuaciones del sistema en el plano cartesiano. Para ello, :@0.120090:0.272114:0.716573:0.272114:0.716573:0.255725:0.120090:0.255725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenemos dos puntos de cada recta, que pueden ser los puntos de corte con :@0.120090:0.288710:0.716482:0.288710:0.716482:0.272321:0.120090:0.272321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ejes coordenados.:@0.120090:0.305307:0.277405:0.305307:0.277405:0.288918:0.120090:0.288918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  +   = 7:@0.120090:0.326260:0.191129:0.326260:0.191129:0.309871:0.120090:0.309871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129083:0.326260:0.136546:0.326260:0.136546:0.310866:0.129083:0.310866:0.000000
y:@0.155600:0.326260:0.163082:0.326260:0.163082:0.310866:0.155600:0.310866:0.000000
Si   = 0;  5(0) +   = 7;   = 7:@0.120090:0.347212:0.311738:0.347212:0.311738:0.330824:0.120090:0.330824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136528:0.347212:0.143991:0.347212:0.143991:0.331819:0.136528:0.331819:0.000000
y:@0.230122:0.347212:0.237603:0.347212:0.237603:0.331819:0.230122:0.331819:0.000000
 y:@0.272892:0.347212:0.283691:0.347212:0.283691:0.331819:0.272892:0.331819:0.000000:0.000000
Si   = 0;  5  + 0 = 7;    = 7/5:@0.120090:0.368165:0.318132:0.368165:0.318132:0.351776:0.120090:0.351776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.136528:0.368165:0.144009:0.368165:0.144009:0.352772:0.136528:0.352772:0.000000
x:@0.192327:0.368165:0.199790:0.368165:0.199790:0.352772:0.192327:0.352772:0.000000
x:@0.267161:0.368165:0.274625:0.368165:0.274625:0.352772:0.267161:0.352772:0.000000
 :@0.096356:0.391884:0.100391:0.391884:0.100391:0.375495:0.096356:0.375495:0.000000
Los dos puntos por donde pasa la primera recta son: (0, 7) y (7/5, 0):@0.120100:0.391884:0.609094:0.391884:0.609094:0.375495:0.120100:0.375495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  + 3 = 8:@0.120090:0.412837:0.199403:0.412837:0.199403:0.396448:0.120090:0.396448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.129083:0.412837:0.136546:0.412837:0.136546:0.397444:0.129083:0.397444:0.000000
y :@0.164593:0.412837:0.175392:0.412837:0.175392:0.397444:0.164593:0.397444:0.000000:0.000000
Si   = 0;  2(0) + 3  = 8;   = 8/3:@0.120090:0.433790:0.336191:0.433790:0.336191:0.417401:0.120090:0.417401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136528:0.433790:0.143991:0.433790:0.143991:0.418397:0.136528:0.418397:0.000000
y:@0.239115:0.433790:0.246596:0.433790:0.246596:0.418397:0.239115:0.418397:0.000000
 y:@0.281885:0.433790:0.292684:0.433790:0.292684:0.418397:0.281885:0.418397:0.000000:0.000000
Si  = 0;  2  + 3(0) = 8;    = 4:@0.120090:0.454743:0.320712:0.454743:0.320712:0.438354:0.120090:0.438354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.132492:0.454743:0.143291:0.454743:0.143291:0.439350:0.132492:0.439350:0.000000:0.000000
x:@0.191608:0.454743:0.199071:0.454743:0.199071:0.439350:0.191608:0.439350:0.000000
x:@0.285202:0.454743:0.292665:0.454743:0.292665:0.439350:0.285202:0.439350:0.000000
 :@0.096356:0.478462:0.100391:0.478462:0.100391:0.462073:0.096356:0.462073:0.000000
Los puntos por donde pasa la segunda recta son: (0, 8/3) y (4, 0):@0.120100:0.478462:0.584824:0.478462:0.584824:0.462073:0.120100:0.462073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096356:0.505749:0.160134:0.505749:0.160134:0.489111:0.096356:0.489111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto donde se cortan las gráficas son la solución del sistema. La solución en este :@0.096356:0.529468:0.716582:0.529468:0.716582:0.513079:0.096356:0.513079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso es:   = 1,   = 2 Por lo tanto, cada pan cuesta $1 y cada queso $2.:@0.096356:0.546065:0.598212:0.546065:0.598212:0.529676:0.096356:0.529676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.156706:0.546065:0.164169:0.546065:0.164169:0.530672:0.156706:0.530672:0.000000
y:@0.199458:0.546065:0.206940:0.546065:0.206940:0.530672:0.199458:0.530672:0.000000
La :@0.105857:0.578338:0.126514:0.578338:0.126514:0.561949:0.105857:0.561949:0.000000:0.000000:0.000000
solución :@0.129591:0.578338:0.200630:0.578338:0.200630:0.561438:0.129591:0.561438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  un sistema  de  ecuaciones  lineales  por  el  método gráfico está :@0.203523:0.578338:0.707067:0.578338:0.707067:0.561949:0.203523:0.561949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada por el :@0.105857:0.594935:0.250843:0.594935:0.250843:0.578546:0.105857:0.578546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto de intersección:@0.250843:0.594935:0.423969:0.594935:0.423969:0.578034:0.250843:0.578034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de las dos:@0.423969:0.594935:0.500886:0.594935:0.500886:0.578546:0.423969:0.578546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 rectas.:@0.500886:0.594935:0.556814:0.594935:0.556814:0.578034:0.500886:0.578034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los sistemas de ecuaciones lineales se clasifican en compatibles determinados, :@0.096366:0.629345:0.716604:0.629345:0.716604:0.612956:0.096366:0.612956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compatibles indeterminados e incompatibles.:@0.096366:0.645941:0.432978:0.645941:0.432978:0.629552:0.096366:0.629552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible determinado:@0.113959:0.681252:0.354689:0.681252:0.354689:0.665888:0.113959:0.665888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema compatible indeterminado:@0.384694:0.681252:0.639295:0.681252:0.639295:0.665888:0.384694:0.665888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sistema incompatible:@0.711366:0.681252:0.867966:0.681252:0.867966:0.665888:0.711366:0.665888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.194196:0.716662:0.212606:0.716662:0.212606:0.703252:0.194196:0.703252:0.000000:0.000000:0.000000:0.000000
0:@0.212468:0.791052:0.219008:0.791052:0.219008:0.779133:0.212468:0.779133:0.000000
x:@0.339301:0.786339:0.345769:0.786339:0.345769:0.772930:0.339301:0.772930:0.000000
A:@0.195480:0.743090:0.204300:0.743090:0.204300:0.729681:0.195480:0.729681:0.000000
Las dos rectas son secantes y tienen un  Las dos rectas son coincidentes, tienen :@0.103312:0.833029:0.641211:0.833029:0.641211:0.818130:0.103312:0.818130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo punto en común.:@0.103312:0.848116:0.251049:0.848116:0.251049:0.833217:0.103312:0.833217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema tiene solución única.:@0.103312:0.866762:0.309565:0.866762:0.309565:0.851863:0.103312:0.851863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.471871:0.716662:0.490280:0.716662:0.490280:0.703252:0.471871:0.703252:0.000000:0.000000:0.000000:0.000000
0:@0.490142:0.791052:0.496683:0.791052:0.496683:0.779133:0.490142:0.779133:0.000000
x:@0.616975:0.786339:0.623443:0.786339:0.623443:0.772930:0.616975:0.772930:0.000000
todos los puntos comunes. Todas las :@0.378737:0.848116:0.625430:0.848116:0.625430:0.833217:0.378737:0.833217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones de una de las ecuaciones :@0.378737:0.863204:0.624294:0.863204:0.624294:0.848305:0.378737:0.848305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son también de la otra.:@0.378737:0.878291:0.531854:0.878291:0.531854:0.863392:0.378737:0.863392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema tiene infinitas soluciones.:@0.378737:0.896937:0.614824:0.896937:0.614824:0.882038:0.378737:0.882038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.502017:0.896937:0.505685:0.896937:0.505685:0.882038:0.502017:0.882038:0.000000
f(x):@0.749545:0.716662:0.767954:0.716662:0.767954:0.703252:0.749545:0.703252:0.000000:0.000000:0.000000:0.000000
0:@0.767815:0.791052:0.774355:0.791052:0.774355:0.779133:0.767815:0.779133:0.000000
x:@0.892274:0.786405:0.898742:0.786405:0.898742:0.772996:0.892274:0.772996:0.000000
Las dos rectas son paralelas, no tienen :@0.658660:0.833029:0.915672:0.833029:0.915672:0.818130:0.658660:0.818130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ningún punto en común.:@0.658660:0.848116:0.827221:0.848116:0.827221:0.833217:0.658660:0.833217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El sistema no tiene solución.:@0.658660:0.866762:0.846352:0.866762:0.846352:0.851863:0.658660:0.851863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f(x):@0.801620:0.356059:0.816038:0.356059:0.816038:0.345557:0.801620:0.345557:0.000000:0.000000:0.000000:0.000000
0:@0.815930:0.442754:0.821052:0.442754:0.821052:0.433419:0.815930:0.433419:0.000000
1:@0.839599:0.445149:0.844721:0.445149:0.844721:0.435814:0.839599:0.435814:0.000000
1:@0.813788:0.424604:0.818911:0.424604:0.818911:0.415269:0.813788:0.415269:0.000000
–1:@0.808540:0.452467:0.818911:0.452467:0.818911:0.443132:0.808540:0.443132:0.000000:0.000000
–2:@0.808540:0.466426:0.818911:0.466426:0.818911:0.457091:0.808540:0.457091:0.000000:0.000000
2:@0.813788:0.410653:0.818911:0.410653:0.818911:0.401318:0.813788:0.401318:0.000000
3:@0.813788:0.396694:0.818911:0.396694:0.818911:0.387359:0.813788:0.387359:0.000000
4:@0.813788:0.382734:0.818911:0.382734:0.818911:0.373399:0.813788:0.373399:0.000000
5:@0.813788:0.368775:0.818911:0.368775:0.818911:0.359440:0.813788:0.359440:0.000000
–1:@0.799776:0.445141:0.810146:0.445141:0.810146:0.435806:0.799776:0.435806:0.000000:0.000000
–2:@0.781177:0.445141:0.791547:0.445141:0.791547:0.435806:0.781177:0.435806:0.000000:0.000000
–3:@0.762577:0.445141:0.772948:0.445141:0.772948:0.435806:0.762577:0.435806:0.000000:0.000000
–4:@0.743978:0.445141:0.754348:0.445141:0.754348:0.435806:0.743978:0.435806:0.000000:0.000000
2:@0.858177:0.445141:0.863299:0.445141:0.863299:0.435806:0.858177:0.435806:0.000000
3:@0.876776:0.445141:0.881898:0.445141:0.881898:0.435806:0.876776:0.435806:0.000000
4:@0.895376:0.445141:0.900498:0.445141:0.900498:0.435806:0.895376:0.435806:0.000000
x:@0.918982:0.439061:0.924048:0.439061:0.924048:0.428559:0.918982:0.428559:0.000000
5x+y = 7:@0.837529:0.372656:0.881585:0.372656:0.881585:0.362154:0.837529:0.362154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2x+3y = 8:@0.750171:0.394935:0.799990:0.394935:0.799990:0.384434:0.750171:0.384434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(1, 2):@0.848227:0.406970:0.877559:0.406970:0.877559:0.396469:0.848227:0.396469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942184:0.274635:0.942184:0.269528:0.930102:0.269528:0.930102:0.274635:0.000000
Shutterstock:@0.942184:0.269528:0.942184:0.231809:0.930273:0.231809:0.930273:0.269528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un consumidor :@0.754711:0.137765:0.862212:0.137765:0.862212:0.122866:0.754711:0.122866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
informado, utiliza las :@0.754711:0.152853:0.894661:0.152853:0.894661:0.137954:0.754711:0.137954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas en cualquier :@0.754711:0.167940:0.930746:0.167940:0.930746:0.153041:0.754711:0.153041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacción.:@0.754711:0.183028:0.834520:0.183028:0.834520:0.168129:0.754711:0.168129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.802188:0.098409:0.883872:0.098409:0.883872:0.081508:0.802188:0.081508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802013:0.112239:0.877062:0.112239:0.877062:0.095339:0.802013:0.095339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806906:0.112239:0.810529:0.112239:0.810529:0.095339:0.806906:0.095339:0.000000
Refuerza lo aprendido. :@0.755130:0.558905:0.908111:0.558905:0.908111:0.544006:0.755130:0.544006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mira el video del enlace.:@0.755130:0.573993:0.915447:0.573993:0.915447:0.559094:0.755130:0.559094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt09:@0.755130:0.592639:0.858526:0.592639:0.858526:0.577514:0.755130:0.577514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de sistema es el :@0.755130:0.611285:0.918433:0.611285:0.918433:0.597291:0.755130:0.597291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentado en el video?:@0.755130:0.626372:0.902535:0.626372:0.902535:0.612379:0.755130:0.612379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806903:0.526463:0.857374:0.526463:0.857374:0.509563:0.806903:0.509563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000