Answer
$\begin{bmatrix}
2&-1 &-5 \\
4 & 6 & -1
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
2x &-y & = &-5 \\
4x& +6y & = &-1
\end{matrix}\right.$
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
$\begin{bmatrix}
2&-1 &-5 \\
4 & 6 & -1
\end{bmatrix}$.
