Question

How do you solve the system `y=-x+2` and `y=x-4`?

Answer 1

`x= 3, y = -1`

Explanation:

These equations are both in the form `y = .........`
Because y = y, it follows that the right sides of the equations are also equal.

`" " y = y`
`" "x - 4 = -x +2`

`2x = 2+4`
`2x = 6`
`x = 3`

Now substitute x = 3 into both equations given toi make sure the answer for `y` is the same.

`y = 3 -4 = -1" and "y = -(3) + 2 = -1`

`y = -1`