Answer
$\begin{bmatrix}
5&-1 &-1 \\
-1 & 2 & 0
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
5x &-y & = &-1 \\
-x& +2y & = &0
\end{matrix}\right.$
For the augmented matrix
First column $=$ coefficients of $x$.
Second column $=$ coefficients of $y$
and third column $=$ the right-hand side.
The augmented matrix is
$\begin{bmatrix}
5&-1 &-1 \\
-1 & 2 & 0
\end{bmatrix}$.