Answer
$\left[\begin{array}{lllll}
1 & -1 & 5 & | & -6\\
0 & 6 & -16 & | & 28\\
1 & 3 & 2 & | & 5
\end{array}\right]$
Work Step by Step
The second row elements will be replaced with
$1(-3)+3\ =0,$
$-1(-3)+1\ =6,$
$5(-3)+(-1) =-16,$
$| -6(-3)+10=28$
resulting in
$\left[\begin{array}{lllll}
1 & -1 & 5 & | & -6\\
0 & 6 & -16 & | & 28\\
1 & 3 & 2 & | & 5
\end{array}\right]$
