Answer
$\begin{bmatrix}1&-3&|&-2\\0&1&|&9\end{bmatrix}$
Work Step by Step
We are given the augmented matrix:
$\begin{bmatrix}1&-3&|&-2\\2&-5&|&5\end{bmatrix}$
Write the system of equations corresponding to the given augmented matrix:
$\begin{cases}
x-3y=-2\\
2x-5y=5
\end{cases}$
Perform the row operation:
$R_2=-2r_1+r_2$
$\begin{bmatrix}1&-3&|&-2\\-2(1)+2&-2(-3)-5&|&-2(-2)+5\end{bmatrix}$
$=\begin{bmatrix}1&-3&|&-2\\0&1&|&9\end{bmatrix}$
