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-2x+5y=-15 5x+2y=-6 The solution to the system is

User Ovinophile
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1 Answer

2 votes

Answer:

(0, - 3 )

Explanation:

2x + 5y = - 15 → (1)

5x + 2y = - 6 → (2)

multiplying (1) by 5 and (2) by - 2 and adding will eliminate x

10x + 25y = - 75 → (3)

- 10x - 4y = 12 → (4)

add (3) and (4) term by term to eliminate x

0 + 21y = - 63

21y = - 63 ( divide both sides by 21 )

y = - 3

substitute y = - 3 into either of the 2 equations and solve for x

substituting into (1)

2x + 5(- 3) = - 15

2x - 15 = - 15 ( add 15 to both sides )

2x = 0 , then x = 0

solution is (0, - 3 )

User Gurgeh
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