Answer
x = -3
x = 2
Work Step by Step
1. Since both equations are set equal to y, this means that you can set both equations equal to each other, meaning 6 + x = $x^{2}$ +2x.
2. I brought all the terms to the right hand of the equation but you can also do the left hand.
3. Bringing all terms to right side gives us 0 = $x^{2}$ +2x - 6 - x.
4. Simplify, 0 = $x^{2}$ +x -6
5. Now factor, (x+3)(x-2)=0
6. Set both terms equal to 0, x + 3 = 0 ; x - 2 = 0
7. Simplify, x = -3 ; x = 2