Question

Check all of the following that are solutions to the system shown below.

y = -x 2 - x + 2 and x + y = -2

(2, -4)
(-2, 4)
(-2, 0)
(0, -2)

Answer 1

First, all of them fulfill the second equation. Then, you try the values in the first function. You will find that (-2,0) works, and (2,-4) works.

Answer 2

We can write y=-2-x. So we can write -2-x=-x²-x+2 because y equals both of these expressions, so the expressions must be equal. The x terms cancel out and we’re left with x²=4 so x=2 and y=-2-2=-4; and x=-2 and y=2-2=0. So the ordered pairs are (2,-4) and (-2,0). These are answer options 1 and 3.