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Anestetic [448]
3 years ago
6

La suma de dos números es 81. La diferencia de los mismos dos números es 33. Escribe un sistema de ecuaciones para representar e

sta situación. Luego encuentra los números.
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

a) Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

b) Los dos números son: 57 y 24

Step-by-step explanation:

Estamos tratando con 2 números

Dejar

El primer número = x

El segundo número = y

La suma de dos números es 81.

x + y = 81 ...... Ecuación 1

La diferencia de los mismos dos números es 33.

x - y = 33 ....... Ecuación 2

Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

Resolvemos estas ecuaciones usando el método de eliminación

Restamos la ecuación 2 de la ecuación 1 para eliminar

2y = 48

y = 48/2

y = 24

Resolver para x usando la Ecuación 1

x + y = 81 ...... Ecuación 1

x + 24 = 81

x = 81 - 24

x = 57

Por lo tanto, los dos números son: 57 y 24

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