Answer
See below
Work Step by Step
We know that
\[
\left\{
\begin{array}{c}
a_1x+b_1y+c_1z=d_1 \\
a_2x+b_2y+c_2z=d_2 \\
a_3x+b_3y+c_3=d_3 \\
\end{array}
\right.
\]
becomes
\[
\left[\begin{array}{rrr|r}
a_1 & b_1 & c_1 & d_1 \\
a_2 & b_2 & c_2 & d_2 \\
a_3 & b_3 & c_3 & d_3 \\
\end{array} \right]
\]
Hence here the augmented matrix is:
\[
\left[\begin{array}{rrr|r}
4 & -5 & 1 & 0 \\
-2 & -1 & 6 & -19 \\
1& 5 &-5 & 10 \\
\end{array} \right]
\]
