Question

Use elimination to solve the system of equations.

5x+3y=−25


−4x+2y=−2

Answer 1

x=-2, y=-5

Explanation:

5x+3y=-25

-4x+2y=-2

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Step 1: move x to one side alone

5x+3y=-25

5x=-3y-25

x=(-3y-25)/5

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Step 2: substitution

-4((-3y-25)/5)+2y=-2

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Step 3: Algebra

(100+22y)/5=-2

100+22y=-10

22y=111

y=-5

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Step 4: Plug back into any equation

5x+3(-5)=-25

5x-15=-25

5x=-10

x=-2