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Answer:
(- 1, 2 )
Step-by-step explanation:
2x + 5y = 8 → (1)
x - 2y = - 5 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x + 4y = 10 → (3)
add (1) and (3) term by term to eliminate x
0 + 9y = 18
9y = 18 ( divide both sides by 9 )
y = 2
substitute y = 2 into either of the 2 equations and solve for x
substituting into (1)
2x + 5(2) = 8
2x + 10 = 8 ( subtract 10 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
solution is (- 1, 2 )