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2x + 5y = 14 4x + 2y = -4 solving with elimination​

User Tonimaroni
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1 Answer

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17 votes

Answer:

(- 3, 4 )

Explanation:

2x + 5y = 14 → (1)

4x + 2y = - 4 → (2)

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

- 4x - 10y = - 28 → (3)

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

0 - 8y = - 32

- 8y = - 32 ( divide both sides by - 8 )

y = 4

substitute y = 4 into either of the 2 equations and solve for x

substituting into (1)

2x + 5(4) = 14

2x + 20 = 14 ( subtract 20 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 4 )

User Thomas Kirchhoff
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3.2k points