Answer
$(3,2)$
Work Step by Step
For each equation plot x- and y-intercepts and join with a straight line.
$\left[\begin{array}{lll}
& x-int. & y-int.\\
& y=0 & x=0\\
& & \\
x-y=1 & x=1 & -y=1\\
& & y=-1\\
& (1,0) & (0,-1)\\
& & \\
x+y=5 & x=5 & y=5\\
& (5,0) & (0,5)
\end{array}\right]$
Graphically solving: x=3, y=2.
Checking:$\qquad \left\{\begin{array}{l}
3-2=1\\
3+2=
\end{array}\right.$
both equations are satisfied, (3,2) is the solution.