Answer
$\left[\begin{array}{rrrr}
-5 & 2 & -3 & 3\\
0 & 1 & -5 & -30\\
-1 & 3 & 1 & 8
\end{array}\right]$
Work Step by Step
$\left[\begin{array}{rrrr}
-5 & 2 & -3 & 3\\
10 & -3 & 1 & -20\\
-1 & 3 & 1 & 8
\end{array}\right]\quad\overrightarrow{2R_{1}+R_{2}\rightarrow R_{2}}$
$\rightarrow\left[\begin{array}{cccc}
-5 & 2 & -3 & 3\\
2(-5)+10 & 2(2)+(-3) & 2(-3)+1 & 2(-5)+(-20)\\
-1 & 3 & 1 & 8
\end{array}\right]\rightarrow$
$\left[\begin{array}{rrrr}
-5 & 2 & -3 & 3\\
0 & 1 & -5 & -30\\
-1 & 3 & 1 & 8
\end{array}\right]$