Answer
$(3,2)$
Work Step by Step
For each equation
find two points, plot them and join with line.
$2x-y=4 \Rightarrow y=2x-4 \rightarrow \left[\begin{array}{l}
(0,-4)\\
(2,0)
\end{array}\right]$
$5x- y=13 \Rightarrow y=5x-13 \rightarrow \left[\begin{array}{l}
(2,-3)\\
(3,2)
\end{array}\right] $
Graphically solving: $x=3,\ y=2$.
Checking:$\qquad \left\{\begin{array}{lll}
2(3)-2=4 & \Rightarrow & 6-2=4\\
& & \\
5(3)-2=13 & \Rightarrow & 15-2=13
\end{array}\right.$
both equations are satisfied, $(3,2)$ is the solution.