Answer
The linear system can be written as:
$\begin{align}
& 4x-7y=-3 \\
& 2x-3y=1
\end{align}$
Work Step by Step
Now, compare the coefficients with the provided matrix
$\begin{align}
& {{a}_{1}}=4 \\
& {{a}_{2}}=2 \\
& {{b}_{1}}=-7 \\
& {{b}_{2}}=-3
\end{align}$ And $\begin{align}
& {{c}_{1}}=-3 \\
& {{c}_{2}}=1
\end{align}$
Substituting the values in the linear equation we get, $\begin{align}
& {{a}_{1}}x+{{b}_{1}}y={{c}_{1}} \\
& {{a}_{2}}x+{{b}_{2}}y={{c}_{2}} \\
\end{align}$
So, $\begin{align}
& 4x-7y=-3 \\
& 2x-3y=1
\end{align}$
