Answer
$\begin{bmatrix}1&-3&|&-3\\0&1&|&2\end{bmatrix}$
Work Step by Step
We are given the augmented matrix:
$\begin{bmatrix}1&-3&|&-3\\2&-5&|&-4\end{bmatrix}$
Write the system of equations corresponding to the given augmented matrix:
$\begin{cases}
x-3y=-3\\
2x-5y=-4
\end{cases}$
Perform the row operation:
$R_2=-2r_1+r_2$
$\begin{bmatrix}1&-3&|&-3\\-2(1)+2&-2(-3)-5&|&-2(-3)-4\end{bmatrix}$
$=\begin{bmatrix}1&-3&|&-3\\0&1&|&2\end{bmatrix}$
