Answer
$(1,-5)$
Work Step by Step
Graphing $4x-y=9$
Set x=$2 \Rightarrow y=-1 \qquad $... $(2,-1)$
Set x=$3 \Rightarrow y=3 \qquad $... $(3,3)$
Graphing $x-3y=16$
Set y=$-4 \Rightarrow x=4 \qquad $... $(4,-4)$
Set y=$-5 \Rightarrow x=1 \qquad $... $(1,-5)$
Graphically solving: $x=1,\ y=-5$.
Checking:$\qquad \left\{\begin{array}{lll}
4(1)-(-5) =9 & \Rightarrow & 4+5=9\\
& & \\
1-3(-5)=16 & \Rightarrow & 1+15=16
\end{array}\right.$
both equations are satisfied, $(1,-5)$ is the solution.