Answer
The solutions of the system are $(-1,8)$ and $(2,-1)$.
Work Step by Step
We are given:
$y=-3x+5$
$y=x^2-4x+3$
Graph both equations in the same coordinate plane.
The points of intersection are $(-1,8)$ and $(2,-1)$
Hence, the solutions of the system are $(-1,8)$ and $(2,-1)$.