Question

PLEASEE HELP ( I need to use linear combination method). 2x + 3y = 76

-2x + 5y = 20

Answer 1

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Answer 2

(20, 12 )

Explanation:

Given the 2 equations

2x + 3y = 76 → (1)

- 2x + 5y = 20 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 +8y = 96

8y = 96 ( divide both sides by 8 )

y = 12

Substitute y = 12 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(12) = 76

2x + 36 = 76 ( subtract 36 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

solution is (20, 12 )