79:@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
Método de sustitución:@0.096354:0.100402:0.274807:0.100402:0.274807:0.083501:0.096354:0.083501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consiste en despejar una de las incógnitas en una de las ecuaciones del sistema :@0.096354:0.124121:0.716628:0.124121:0.716628:0.107732:0.096354:0.107732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dado y, luego, sustituir esa expresión en la otra ecuación del sistema. De este modo, :@0.096354:0.140717:0.716606:0.140717:0.716606:0.124328:0.096354:0.124328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tiene una ecuación con una sola incógnita. Se resuelve esta ecuación y, después, :@0.096354:0.157313:0.716591:0.157313:0.716591:0.140925:0.096354:0.140925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se reemplaza el valor obtenido en la otra ecuación para hallar la otra incógnita.:@0.096354:0.173910:0.671643:0.173910:0.671643:0.157521:0.096354:0.157521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096354:0.204765:0.155949:0.204765:0.155949:0.188127:0.096354:0.188127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El propietario de una cafetería tiene café en grano de clases A y B. Si usa 2 kg de clase :@0.096354:0.228484:0.716608:0.228484:0.716608:0.212095:0.096354:0.212095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A y 3 kg de clase B, la mezcla de café cuesta 5 dólares cada kilogramo. Cuando usa :@0.096354:0.245081:0.716536:0.245081:0.716536:0.228692:0.096354:0.228692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 kg de la clase A y 2 kg de la clase B, la mezcla tiene un valor de 4 dólares cada :@0.096354:0.261677:0.716647:0.261677:0.716647:0.245288:0.096354:0.245288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilogramo. ¿Cuál es el precio de cada clase de café en grano?:@0.096354:0.278273:0.540747:0.278273:0.540747:0.261884:0.096354:0.261884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos las variables y planteamos las ecuaciones del sistema.:@0.096354:0.301992:0.590209:0.301992:0.590209:0.285603:0.096354:0.285603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor mezcla 1:@0.352056:0.334313:0.456809:0.334313:0.456809:0.318760:0.352056:0.318760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor mezcla 2 :@0.494518:0.334313:0.602353:0.334313:0.602353:0.318760:0.494518:0.318760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Café grano A: :@0.212341:0.359685:0.304831:0.359685:0.304831:0.344786:0.212341:0.344786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.304831:0.359685:0.311616:0.359685:0.311616:0.345691:0.304831:0.345691:0.000000
2:@0.396952:0.359685:0.405127:0.359685:0.405127:0.344786:0.396952:0.344786:0.000000
x:@0.405127:0.359685:0.411912:0.359685:0.411912:0.345691:0.405127:0.345691:0.000000
3:@0.539415:0.359685:0.547590:0.359685:0.547590:0.344786:0.539415:0.344786:0.000000
x:@0.547590:0.359685:0.554375:0.359685:0.554375:0.345691:0.547590:0.345691:0.000000
Café grano B: y:@0.212709:0.389055:0.311230:0.389055:0.311230:0.374156:0.212709:0.374156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.396935:0.389055:0.405111:0.389055:0.405111:0.374156:0.396935:0.374156:0.000000
y:@0.405111:0.389055:0.411912:0.389055:0.411912:0.375062:0.405111:0.375062:0.000000
2:@0.539398:0.389055:0.547573:0.389055:0.547573:0.374156:0.539398:0.374156:0.000000
y:@0.547573:0.389055:0.554375:0.389055:0.554375:0.375062:0.547573:0.375062:0.000000
Valor total:@0.228440:0.418426:0.295500:0.418426:0.295500:0.403527:0.228440:0.403527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5(5) = 25:@0.374973:0.418426:0.433875:0.418426:0.433875:0.403527:0.374973:0.403527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5(4) = 20:@0.517435:0.418426:0.576337:0.418426:0.576337:0.403527:0.517435:0.403527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación:@0.231673:0.447797:0.292250:0.447797:0.292250:0.432898:0.231673:0.432898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.365257:0.447797:0.373432:0.447797:0.373432:0.432898:0.365257:0.432898:0.000000
x +  y = :@0.373432:0.447797:0.427224:0.447797:0.427224:0.433803:0.373432:0.433803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.396232:0.447797:0.404407:0.447797:0.404407:0.432898:0.396232:0.432898:0.000000
25:@0.427224:0.447797:0.443574:0.447797:0.443574:0.432898:0.427224:0.432898:0.000000:0.000000
3  + 2:@0.507066:0.447797:0.547523:0.447797:0.547523:0.432898:0.507066:0.432898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515241:0.447797:0.522026:0.447797:0.522026:0.433803:0.515241:0.433803:0.000000
y = :@0.547523:0.447797:0.570340:0.447797:0.570340:0.433803:0.547523:0.433803:0.000000:0.000000:0.000000:0.000000
20:@0.570340:0.447797:0.586690:0.447797:0.586690:0.432898:0.570340:0.432898:0.000000:0.000000
El sistema por resolver es: :@0.096359:0.491846:0.286309:0.491846:0.286309:0.475457:0.096359:0.475457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.298111:0.482007:0.307103:0.482007:0.307103:0.465620:0.298111:0.465620:0.000000
3:@0.332661:0.482007:0.341653:0.482007:0.341653:0.465620:0.332661:0.465620:0.000000
25:@0.368371:0.482007:0.386281:0.482007:0.386281:0.465620:0.368371:0.465620:0.000000:0.000000
3:@0.298111:0.502751:0.307103:0.502751:0.307103:0.486364:0.298111:0.486364:0.000000
2:@0.332661:0.502751:0.341653:0.502751:0.341653:0.486364:0.332661:0.486364:0.000000
20:@0.368371:0.502751:0.386281:0.502751:0.386281:0.486364:0.368371:0.486364:0.000000:0.000000
x:@0.307914:0.482007:0.315377:0.482007:0.315377:0.466615:0.307914:0.466615:0.000000
y:@0.342758:0.482007:0.350239:0.482007:0.350239:0.466615:0.342758:0.466615:0.000000
x:@0.307914:0.502751:0.315377:0.502751:0.315377:0.487359:0.307914:0.487359:0.000000
y:@0.342758:0.502751:0.350239:0.502751:0.350239:0.487359:0.342758:0.487359:0.000000
+:@0.319705:0.481593:0.329821:0.481593:0.329821:0.464652:0.319705:0.464652:0.000000
=:@0.355121:0.481593:0.365237:0.481593:0.365237:0.464652:0.355121:0.464652:0.000000
+:@0.319705:0.502337:0.329821:0.502337:0.329821:0.485396:0.319705:0.485396:0.000000
=:@0.355121:0.502337:0.365237:0.502337:0.365237:0.485396:0.355121:0.485396:0.000000
:@0.289090:0.482889:0.298193:0.482889:0.298193:0.465948:0.289090:0.465948:0.000000
:@0.289090:0.494340:0.298193:0.494340:0.298193:0.477399:0.289090:0.477399:0.000000
:@0.289090:0.505793:0.298193:0.505793:0.298193:0.488852:0.289090:0.488852:0.000000
De la primera ecuación despejamos la variable  :  :@0.096359:0.531229:0.459857:0.531229:0.459857:0.514840:0.096359:0.514840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.441116:0.531229:0.470965:0.530764:0.470965:0.515372:0.441116:0.515835:0.000000:0.000000:0.000000
y:@0.533468:0.522052:0.540948:0.522052:0.540948:0.506660:0.533468:0.506660:0.000000
=:@0.475885:0.530349:0.486001:0.530349:0.486001:0.513409:0.475885:0.513409:0.000000
−:@0.510719:0.521634:0.520836:0.521634:0.520836:0.504693:0.510719:0.504693:0.000000
25 3:@0.490561:0.522049:0.532370:0.522049:0.532370:0.505661:0.490561:0.505661:0.000000:0.000000:0.000000:0.000000
2:@0.512157:0.541562:0.521149:0.541562:0.521149:0.525174:0.512157:0.525174:0.000000
Sustituimos este valor en la segunda ecuación.:@0.096359:0.554953:0.437840:0.554953:0.437840:0.538564:0.096359:0.538564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Queda una ecuación con una variable.  :@0.096359:0.587993:0.385614:0.587993:0.385614:0.571604:0.096359:0.571604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.385614:0.584588:0.394187:0.584588:0.394187:0.568965:0.385614:0.568965:0.000000
25 3:@0.404902:0.576282:0.444777:0.576282:0.444777:0.560659:0.404902:0.560659:0.000000:0.000000:0.000000:0.000000
2:@0.425492:0.594887:0.434064:0.594887:0.434064:0.579265:0.425492:0.579265:0.000000
2:@0.479391:0.584588:0.487963:0.584588:0.487963:0.568965:0.479391:0.568965:0.000000
20:@0.513979:0.584588:0.531124:0.584588:0.531124:0.568965:0.513979:0.568965:0.000000:0.000000
−:@0.424120:0.575892:0.433763:0.575892:0.433763:0.559741:0.424120:0.559741:0.000000
:@0.394942:0.577131:0.401687:0.577131:0.401687:0.560981:0.394942:0.560981:0.000000
:@0.394934:0.595805:0.401679:0.595805:0.401679:0.579654:0.394934:0.579654:0.000000
:@0.394934:0.587525:0.401679:0.587525:0.401679:0.571375:0.394934:0.571375:0.000000
:@0.457433:0.577127:0.464179:0.577127:0.464179:0.560977:0.457433:0.560977:0.000000
:@0.457433:0.595805:0.464179:0.595805:0.464179:0.579654:0.457433:0.579654:0.000000
:@0.457433:0.587525:0.464179:0.587525:0.464179:0.571375:0.457433:0.571375:0.000000
+:@0.467041:0.584192:0.476685:0.584192:0.476685:0.568042:0.467041:0.568042:0.000000
=:@0.500803:0.584192:0.510447:0.584192:0.510447:0.568042:0.500803:0.568042:0.000000
y:@0.445821:0.576282:0.452953:0.576282:0.452953:0.561608:0.445821:0.561608:0.000000
y:@0.488998:0.584588:0.496130:0.584588:0.496130:0.569914:0.488998:0.569914:0.000000
Resolvemos esta ecuación y encontramos el valor de la variable  .:@0.096359:0.618845:0.575655:0.618845:0.575655:0.602456:0.096359:0.602456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.564967:0.618845:0.572448:0.618845:0.572448:0.603452:0.564967:0.603452:0.000000
3:@0.293263:0.658915:0.302255:0.658915:0.302255:0.642527:0.293263:0.642527:0.000000
25 3:@0.313514:0.650202:0.355323:0.650202:0.355323:0.633815:0.313514:0.633815:0.000000:0.000000:0.000000:0.000000
2:@0.335109:0.669715:0.344101:0.669715:0.344101:0.653328:0.335109:0.653328:0.000000
2:@0.391633:0.658915:0.400625:0.658915:0.400625:0.642527:0.391633:0.642527:0.000000
20:@0.427343:0.658915:0.445252:0.658915:0.445252:0.642527:0.427343:0.642527:0.000000:0.000000
−:@0.333667:0.649785:0.343783:0.649785:0.343783:0.632845:0.333667:0.632845:0.000000
:@0.303053:0.651082:0.310129:0.651082:0.310129:0.634141:0.303053:0.634141:0.000000
:@0.303053:0.670678:0.310129:0.670678:0.310129:0.653737:0.303053:0.653737:0.000000
:@0.303053:0.661993:0.310129:0.661993:0.310129:0.645052:0.303053:0.645052:0.000000
:@0.368596:0.651082:0.375671:0.651082:0.375671:0.634141:0.368596:0.634141:0.000000
:@0.368596:0.670678:0.375671:0.670678:0.375671:0.653737:0.368596:0.653737:0.000000
:@0.368596:0.661993:0.375671:0.661993:0.375671:0.645052:0.368596:0.645052:0.000000
+:@0.378677:0.658500:0.388793:0.658500:0.388793:0.641559:0.378677:0.641559:0.000000
=:@0.414092:0.658500:0.424208:0.658500:0.424208:0.641559:0.414092:0.641559:0.000000
y:@0.356411:0.650200:0.363893:0.650200:0.363893:0.634808:0.356411:0.634808:0.000000
y:@0.401703:0.658913:0.409184:0.658913:0.409184:0.643521:0.401703:0.643521:0.000000
3253:@0.293264:0.698769:0.351879:0.698769:0.351879:0.682381:0.293264:0.682381:0.000000:0.000000:0.000000:0.000000
22:@0.384733:0.698769:0.410530:0.698769:0.410530:0.682381:0.384733:0.682381:0.000000:0.000000
20 2:@0.445668:0.698769:0.480955:0.698769:0.480955:0.682381:0.445668:0.682381:0.000000:0.000000:0.000000:0.000000
−:@0.330212:0.698358:0.340328:0.698358:0.340328:0.681417:0.330212:0.681417:0.000000
(:@0.303053:0.700088:0.309189:0.700088:0.309189:0.678523:0.303053:0.678523:0.000000
):@0.362847:0.700088:0.368983:0.700088:0.368983:0.678523:0.362847:0.678523:0.000000
+:@0.371767:0.698358:0.381883:0.698358:0.381883:0.681417:0.371767:0.681417:0.000000
():@0.394513:0.700088:0.417251:0.700088:0.417251:0.678523:0.394513:0.678523:0.000000:0.000000
=:@0.432420:0.698358:0.442537:0.698358:0.442537:0.681417:0.432420:0.681417:0.000000
():@0.464955:0.700088:0.487693:0.700088:0.487693:0.678523:0.464955:0.678523:0.000000:0.000000
y:@0.352957:0.698772:0.360438:0.698772:0.360438:0.683380:0.352957:0.683380:0.000000
y:@0.420047:0.698772:0.427528:0.698772:0.427528:0.683380:0.420047:0.683380:0.000000
75 9:@0.292975:0.728259:0.334784:0.728259:0.334784:0.711871:0.292975:0.711871:0.000000:0.000000:0.000000:0.000000
4:@0.361779:0.728259:0.370771:0.728259:0.370771:0.711871:0.361779:0.711871:0.000000
40:@0.398631:0.728259:0.416542:0.728259:0.416542:0.711871:0.398631:0.711871:0.000000:0.000000
−:@0.313115:0.727844:0.323231:0.727844:0.323231:0.710903:0.313115:0.710903:0.000000
+:@0.348236:0.727844:0.358352:0.727844:0.358352:0.710903:0.348236:0.710903:0.000000
=:@0.384812:0.727844:0.394928:0.727844:0.394928:0.710903:0.384812:0.710903:0.000000
y:@0.336451:0.728259:0.343932:0.728259:0.343932:0.712867:0.336451:0.712867:0.000000
y:@0.372437:0.728259:0.379919:0.728259:0.379919:0.712867:0.372437:0.712867:0.000000
−:@0.293840:0.756177:0.303956:0.756177:0.303956:0.739236:0.293840:0.739236:0.000000
= −:@0.326086:0.756177:0.350021:0.756177:0.350021:0.739236:0.326086:0.739236:0.000000:0.000000:0.000000
5:@0.303919:0.756592:0.312911:0.756592:0.312911:0.740204:0.303919:0.740204:0.000000
35:@0.349985:0.756592:0.367895:0.756592:0.367895:0.740204:0.349985:0.740204:0.000000:0.000000
y:@0.313703:0.756592:0.321184:0.756592:0.321184:0.741200:0.313703:0.741200:0.000000
y:@0.294990:0.783772:0.302472:0.783772:0.302472:0.768380:0.294990:0.768380:0.000000
=:@0.307373:0.783357:0.317489:0.783357:0.317489:0.766416:0.307373:0.766416:0.000000
7:@0.320327:0.783772:0.329319:0.783772:0.329319:0.767384:0.320327:0.767384:0.000000
Para obtener la otra variable, reemplazamos este valor en la primera ecuación::@0.096359:0.813259:0.665600:0.813259:0.665600:0.796870:0.096359:0.796870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.291861:0.847354:0.299324:0.847354:0.299324:0.831962:0.291861:0.831962:0.000000
y:@0.361826:0.838642:0.369307:0.838642:0.369307:0.823250:0.361826:0.823250:0.000000
x:@0.383128:0.847354:0.390591:0.847354:0.390591:0.831962:0.383128:0.831962:0.000000
x:@0.487826:0.847354:0.495289:0.847354:0.495289:0.831962:0.487826:0.831962:0.000000
=:@0.304241:0.846939:0.314357:0.846939:0.314357:0.829998:0.304241:0.829998:0.000000
−:@0.339085:0.838227:0.349201:0.838227:0.349201:0.821286:0.339085:0.821286:0.000000
=:@0.395507:0.846939:0.405623:0.846939:0.405623:0.829998:0.395507:0.829998:0.000000
−:@0.430346:0.837180:0.440463:0.837180:0.440463:0.820239:0.430346:0.820239:0.000000
():@0.452803:0.838911:0.475541:0.838911:0.475541:0.817345:0.452803:0.817345:0.000000:0.000000
=:@0.500212:0.846939:0.510328:0.846939:0.510328:0.829998:0.500212:0.829998:0.000000
25 3:@0.318916:0.838642:0.360725:0.838642:0.360725:0.822254:0.318916:0.822254:0.000000:0.000000:0.000000:0.000000
2:@0.340518:0.858158:0.349510:0.858158:0.349510:0.841770:0.340518:0.841770:0.000000
25 37:@0.410192:0.837595:0.468511:0.837595:0.468511:0.821207:0.410192:0.821207:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.438503:0.858158:0.447495:0.858158:0.447495:0.841770:0.438503:0.841770:0.000000
2:@0.513457:0.847354:0.522449:0.847354:0.522449:0.830966:0.513457:0.830966:0.000000
,:@0.373628:0.847354:0.376834:0.847354:0.376834:0.830966:0.373628:0.830966:0.000000
,:@0.478326:0.847354:0.481532:0.847354:0.481532:0.830966:0.478326:0.830966:0.000000
Por lo tanto, el precio por kilogramo de la clase A de café es 2 dólares, y el precio por :@0.096359:0.884909:0.716659:0.884909:0.716659:0.868520:0.096359:0.868520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilogramo de la clase B de café es 7 dólares.:@0.096359:0.901505:0.413844:0.901505:0.413844:0.885116:0.096359:0.885116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Café en grano:@0.740996:0.219141:0.824884:0.219141:0.824884:0.205732:0.740996:0.205732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.942184:0.163259:0.942184:0.158152:0.930102:0.158152:0.930102:0.163259:0.000000
Shutterstock:@0.942184:0.158152:0.942184:0.120434:0.930273:0.120434:0.930273:0.158152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.925149:0.827945:0.925149:0.822838:0.913067:0.822838:0.913067:0.827945:0.000000
Shutterstock:@0.925149:0.822838:0.925149:0.785120:0.913238:0.785120:0.913238:0.822838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al enlace. Mira el :@0.754621:0.364668:0.920233:0.364668:0.920233:0.349769:0.754621:0.349769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicio resuelto por el :@0.754621:0.379755:0.913214:0.379755:0.913214:0.364856:0.754621:0.364856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de suma y resta. :@0.754621:0.394843:0.922730:0.394843:0.922730:0.379944:0.754621:0.379944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica el procedimiento.:@0.754621:0.409930:0.927705:0.409930:0.927705:0.395031:0.754621:0.395031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve el mismo sistema :@0.754621:0.428576:0.924239:0.428576:0.924239:0.414582:0.754621:0.414582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por el método de :@0.754621:0.443664:0.864801:0.443664:0.864801:0.429670:0.754621:0.429670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustitución. :@0.754621:0.458751:0.829889:0.458751:0.829889:0.444758:0.754621:0.444758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál te pareció más fácil?:@0.754621:0.552014:0.921053:0.552014:0.921053:0.538020:0.754621:0.538020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt10:@0.754621:0.570660:0.858017:0.570660:0.858017:0.555535:0.754621:0.555535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806394:0.332225:0.856865:0.332225:0.856865:0.315325:0.806394:0.315325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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