Answer
$\begin{bmatrix}
-1&-1 &4 \\
2 & 0 & 6
\end{bmatrix}$.
Work Step by Step
The given system is
$\left\{\begin{matrix}
-x &-y & = &4 \\
2x& -7 & = &-1
\end{matrix}\right.$
Rewrite the second equation as linear equation.
$\left\{\begin{matrix}
-x &-y & = &4 \\
2x&+ 0y & = &6
\end{matrix}\right.$
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
$\begin{bmatrix}
-1&-1 &4 \\
2 & 0 & 6
\end{bmatrix}$.