Answer
The linear system can be written as:
$3x=6$
$-3x+y=-7$
Work Step by Step
Now, compare the coefficients with the provided matrix
$\begin{align}
& {{a}_{1}}=3 \\
& {{a}_{2}}=-3 \\
& {{b}_{1}}=0 \\
& {{b}_{2}}=1
\end{align}$ And $\begin{align}
& {{c}_{1}}=6 \\
& {{c}_{2}}=-7
\end{align}$
Substitute the values in the linear equation to get, $\begin{align}
& {{a}_{1}}x+{{b}_{1}}y={{c}_{1}} \\
& {{a}_{2}}x+{{b}_{2}}y={{c}_{2}} \\
\end{align}$
So, $\begin{align}
& 3x=6 \\
& -3x+y=-7
\end{align}$
