Question

What is the ordered pair that represents the solution of this system of equations. y = - x + 6 and y = x – 2.

Answer 1

I'd put both equations equal to each other.

-x+6 = x-2
-2x = -8
x = 4

To find y, substitute 4 back into the equations: -4 + 6 = 2
4 - 2 = 2 the y value is 2

(4,2)

Answer 2

Thanks! :)

Answer 3

We can also do it by adding both equations.