Answer
The solutions of the system are $(-1,-1)$ and $(1,1)$.
Work Step by Step
We are given:
$y=x$
$y=-2x^2+x+2$
Graph both equations in the same coordinate plane.
The points of intersection are $(-1,-1)$ and $(1,1)$.
Hence, the solutions of the system are $(-1,-1)$ and $(1,1)$.
