Answer
$\{(2,-1)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
y=-2x+3 & & & | & y=-x+1 & & \\
x=0 & & x=2 & | & x=0 & & x=1\\
& & & & & & \\
y=0+3 & & y=-4+3 & | & y=0+1 & & y=-1+1 \\
y=3 & & y=-1 & | & y=1 & & y=0\\
(0,3), & & (2,-1) & | & (0,1) & & (1,0)\\
& & & & & &
\end{array} $
Plot the pairs of points and the accompanying lines.
Determine intersection points, if any.
(see attached image)
There is an intersection point,
the solution set is $\{(2,-1)\}$
