Question

Solve the system by elimination.

14) 5x + 6y = -8
-2x + 8y = 24
My question is: When Im solving by elimination how do i know which number to multiply with on both equations! that’s what confuses me.

Answer 1

x=-4, y=2. (-4, 2).

Explanation:

5x+6y=-8

-2x+8y=24

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2(5x+6y)=2(-8)

5(-2x+8y)=5(24)

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10x+12y=-16

-10x+40y=120

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52y=104

y=104/52

y=2

5x+6(2)=-8

5x+12=-8

5x=-8-12

5x=-20

x=-20/5

x=-4