Answer
$\{(-1,4)\}$
Work Step by Step
Graph each line
(plot two points per line, such as the interceptcs)
$ \begin{array}{lllllll}
& & & & & & \\
y=x+5 & & & | & y=-x+3 & & \\
x=0 & & x=2 & | & x=0 & & x=3\\
& & & & & & \\
y=0+5 & & y=2+5 & | & y=0+3 & & y=3-3 \\
y=5 & & y=7 & | & y=4 & & y=0\\
(0,5), & & (2,7) & | & (0,4) & & (2,0)\\
& & & & & &
\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 $\{(-1,4)\}$
