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  • 05-12-2019
  • Mathematics
contestada

x = y + 4 2x - 3y = -2 What is the solution to the system of equations? A) (6, 10) B) (9, 5) C) (10, 6) D) (14, 10)

Respuesta :

jimrgrant1 jimrgrant1
  • 05-12-2019

Answer:

D

Step-by-step explanation:

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

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