Answer
The system represented by the augmented matrix is
$\left\{\begin{array}{lll}
x & -3y & =-3\\
2x & -5y & =-4
\end{array}\right.$
Performing the row operation,
$\rightarrow\left[\begin{array}{cc|c}
{1}&{-3}&{-3}\\
{0}&{1}&{2}\end{array}\right]$
Work Step by Step
The system represented by the augmented matrix is
$\left\{\begin{array}{lll}
x & -3y & =-3\\
2x & -5y & =-4
\end{array}\right.$
Performing the row operation,
$\left[\begin{array}{rr|r}
{1}&{-3}&{-3}\\
{2}&{-5}&{-4}\end{array}\right]\rightarrow R_{2}=-2r_{1}+r_{2}\rightarrow$
$\rightarrow\left[\begin{array}{cc|c}
{1} &{-3} &{-3}\\
{-2(1)+2}&{-2(-3)-5}&{-2(-3)-4}\end{array}\right]\rightarrow\left[\begin{array}{cc|c}
{1}&{-3}&{-3}\\
{0}&{1}&{2}\end{array}\right]$
