Respuesta :

Answer:

x = 9 , y = 5

Step-by-step explanation:

given the system of equations

x + y = 14 → (1)

x - y = 4 → (2)

rearrange (2) by adding y to both sides

x = 4 + y

substitute x = 4 + y into (1)

4 + y + y = 14

2y + 4 = 14 ( subtract 4 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

substitute y = 5 into either of the 2 equations and solve for x

substituting into (1)

x + 5 = 14 ( subtract 5 from both sides )

x = 9

The solution is x = 9 , y = 5

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