Answer
$(2,-1)$
Work Step by Step
For each equation
find two points, plot them and join with line.
$3x+y=5 \Rightarrow y=-3x+5 \rightarrow\left[\begin{array}{l}
(0,5)\\
(1,2)
\end{array}\right]$
$x-2y=4 \Rightarrow \left[\begin{array}{llll}
x=0 & \Rightarrow y=-2 & \rightarrow & (0,-2)\\
y=0 & \Rightarrow x=4 & \rightarrow & (4,0)
\end{array}\right]$
Graphically solving: $x=2,\ y=-1$.
Checking:$\qquad \left\{\begin{array}{lll}
3(2)+(-1)=1 & \Rightarrow & 6-1=5\\
& & \\
2-2(-1)=4 & \Rightarrow & 2+2=4
\end{array}\right.$
both equations are satisfied, $(2,-1)$ is the solution.