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Step-by-step explanation:

first subtract both equation and take out value of y then put that value in any equation you will get the value of x

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Answer:

x = 10 , y = 7

Step-by-step explanation:

given the system of equations

- 3x + 4y = - 2 → (1)

- 3x + 2y = - 16 → (2)

multiplying (1) by - 1 and adding the result to (2) will eliminate x

3x - 4y = 2 → (3)

add (2) and (3) term by term to eliminate x

(- 3x + 3x) + (2y - 4y) = - 16 + 2

0 + (- 2y) = - 14

- 2y = - 14 ( divide both sides by - 2 )

y = 7

substitute y = 7 into either of the 2 original equations and solve for x

substituting into (1)

- 3x + 4(7) = - 1

- 3x + 28 = - 2 ( subtract 28 from both sides )

- 3x = - 30 ( divide both sides by - 3 )

x = 10

The solution is x = 10, y = 7

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