We can add the equations together to cancel out the x terms.
y = x + 20
y = −x + 2
2y = 0 + 22
Now we can solve for y.
2y = 22
y = 11
Lastly, we can input this answer into one of the equations and solve for x.
11 = x + 20
-9 = x
So the solution to the equation system is (-9, 11).