Answer
$(2,1)$
Work Step by Step
Alphabetical order: a on the horizontal axis, b on the vertical.
Graphing $a=1+b$
Set $a=0 \Rightarrow b=-1 \qquad $... $(0,-1)$
Set $b=0 \Rightarrow a=1 \qquad $... $(1,0)$
Graphing $b=5-2a$
Set $a=0 \Rightarrow b=5 \qquad $... $(0,5)$
Set $a=2 \Rightarrow b=1 \qquad $... $(2,1)$
Graphically solving: $a=2,\ b=1$.
Checking:$\qquad \left\{\begin{array}{lll}
2 =1+1 & & \\
& & \\
1=5-2(2) & \Rightarrow & 1=5-4
\end{array}\right.$
both equations are satisfied, $(2,1)$ is the solution.