Answer
$(1,4)$
Work Step by Step
Graphing $2y=3x+5$
Set x=1 $\Rightarrow 2y=3+5 \Rightarrow y=4 \qquad $... $(1,4)$
Set x=$-1 \Rightarrow 2y=-3+5 \Rightarrow y=1 \qquad $... $(-1,1)$
Graphing $x=y-3$
Set y=0 $\Rightarrow x=-3 \qquad $... $(-3,0)$
Set y=$3 \Rightarrow x=3-3 \qquad $... $(0,3)$
Graphically solving: $x=1,\ y=4$.
Checking:$\qquad \left\{\begin{array}{lll}
2(4) =3(1)+5 & \Rightarrow & 8=3+5\\
& & \\
1=4-3 & &
\end{array}\right.$
both equations are satisfied, $(1,4)$ is the solution.