Answer
See below.
Work Step by Step
We know that
\[
\left\{
\begin{array}{c}
a_1x+b_1y=c_1 \\
a_2x+b_2y=c_2 \\
\end{array}
\right.
\]
becomes
\[
\left[\begin{array}{rr|r}
a_1 & b_1 & c_1 \\
a_2 & b_2 & c_2 \\
\end{array} \right]
\]
Hence here the system of equations is:
$\{3x+2y=8,x+4y=-1\}$
