Answer
$\begin{cases}
2x+y-3z=5\\
2x+3y+z=13\\
0x-14y-4z=-32
\end{cases}$
Work Step by Step
$\begin{cases}
2x+y-3z=5\\
2x+3y+z=13\\
6x-5y-z=7
\end{cases}$
Multiplying Equation 2 by $-3$ and adding it to Equation 3. results in a new Equation 3.
$\begin{cases}
-6x-9y-3z=-39\\
6x-5y-z=7\\
-- -- -- --\\
0x-14y-4z=-32
\end{cases}$
Therefore, The new equivalent system is..
$\begin{cases}
2x+y-3z=5\\
2x+3y+z=13\\
0x-14y-4z=-32
\end{cases}$
