How to solve -x+8y=-32 3x-y=27 in elimination or substitution

Question

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Answer 1

-x + 8y = -32

3x - y = 27

multiply the top equation by 3 on both sides

-3x + 24y = -96

3x - y = 27

add the bottom equation to the top

0x + 23y = -69

3x - y = 27

divide the top equation by 23 on both sides

0x + y = -3

3x - y = 27

Now we know that y = -3

add the top equation to the bottom

0x + y = -3

3x + 0y = 24

divide the bottom equation by 3 on both sides

0x + y = -3

x + 0y = 8

Now we know that x = 8

Answer:  x = 8, y = -3