Question

How do you solve the system `y = x - 4`, `y = 3x + 2`?

Answer 1

`x=-3 and y=-7`

Explanation:

Since `y=x-4` in the first equation, replace the `y` in the second equation with the value `x-4`.

`thereforex-4=3x+2`

`therefore 2x=-6 =>x=-3`.

Then substituting back into equation 1 we get that `y=-3-4=-7`