Answer
$\left[\begin{array}{lllll}
1 & -3 & 2 & | & 0\\
0 & 10 & -7 & | & 7\\
2 & -2 & 1 & | & 3
\end{array}\right]$
Work Step by Step
The second row will be replaced ...
$\left[\begin{array}{lllll}
* & * & * & | & *\\
1(-3)+3 & -3(-3)+1 & 2(-3)+(-1) & | & 0(-3)+7\\
* & * & * & | & *
\end{array}\right]$
resulting in
$\left[\begin{array}{lllll}
1 & -3 & 2 & | & 0\\
0 & 10 & -7 & | & 7\\
2 & -2 & 1 & | & 3
\end{array}\right]$
