Use Gaussian Elimination to Solve the System $\begin{array}{l}x+2 y-3 z=-7 \\2 x-3 y+z=14 \\4 x+y-2 z=3\end{array}$

Use Gaussian elimination to solve the system.
$\begin{array}{l}x+2 y-3 z=-7 \\2 x-3 y+z=14 \\4 x+y-2 z=3\end{array}$