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natka813 [3]
2 years ago
4

Una caja grande cuesta lo mismo que tres pequeñas. Si 7 cajas grandes y 4 pequeñas cuestan $12 más que 4 grandes y 7 pequeñas ¿C

uál es el sistema de ecuaciones que modela el sistema?
Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0

Answer:

x = 3y

7x+4y= 12 + 4x+7y

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

7x+4y= 12 + 4x+7y

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

x = 3y

7x+4y= 12 + 4x+7y

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