What are the x-coordinates of the solutions to this system of equations?

x^2+y^2=100

y=x+2

There are two answers (-8,-6) or (6,8). To find the answer, you simply insert x+2 for y, getting : x^2 + (x+2) ^2 = 100. Distributed: 2x^2+4x+-96=0. Simplified: x^2+2x-48=0.

Factored: (x+8) (x-6) = 0. Then substitute these x-values to find y. Answer: (-8,-6) or (6,8)