Answer
$\left\{ 5-13z,\ 5z,\ z \right\}$
Work Step by Step
We use the following steps:
$\begin{align}
x+2y+3z=5 & \\
y-5z=0 & \\
\end{align}$
Now converting it into an augmented matrix, we get,
$\left[ \left. \begin{align}
& \begin{matrix}
1 & 2 & 3 \\
\end{matrix} \\
& \begin{matrix}
0 & 1 & -5 \\
\end{matrix} \\
\end{align} \right|\begin{matrix}
5 \\
0 \\
\end{matrix} \right]$
Further we will solve the equations for values of $ x,y $ and $ z $.
$\begin{align}
& y=5z \\
& x=5-13z \\
& z=z \\
\end{align}$
