Question

Solve the following system by any method. -8x-8y=0 and -8x+2y=-20

Answer 1

X=2

y=-2

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Answer 2

`x=2\\y=-2`

Explanation:

`-8x-8y=0`

Solve -8x-8y=0 for x

`-8x-8y+8y=0+8y`

`-8x=8y`

`x=-1y`

`-8x+2y=-20`

Substitute -1y for x

`-8(-1y)+2y=-20`

`8y+2y=-20`

`10y=-20`

`y=-2`

Substitute -2 for y

`x=-1y`

`x=-1(-2)`

`x=2`