Question

How do you solve x - y = 6 and x + y = -2?

Answer 1

`x=2, y=-4`

Explanation:

The question comes up with using substitution, if you rearrange the first equation `x-y=6` to `x=6+y`
Then substitute this into the second equation
`x+y=-2 =>( 6+y) +y=-2`
`6+2y=-2`
`2y=-8`
`y=-4`
Put `y=-4` into either equation
`=> x-(-4)=6 => x +4=6 =>x =2`