Answer
The solutions of the system are $(0,1)$ and $(1,2)$.
Work Step by Step
We are given:
$y=x^2+1$
$y=x+1$
Graph both equations in the same coordinate plane.
The points of intersection are $(0,1)$ and $(1,2)$.
Hence, the solutions of the system are $(0,1)$ and $(1,2)$.