Use Gaussian Elimination to Solve the System $\begin{aligned}x+2 y-3 z &=3 \\4 x+y+2 z &=-2 \\2 x-3 y+8 z &=5\end{aligned}$

Use Gaussian elimination to solve the system.
$\begin{aligned}x+2 y-3 z &=3 \\4 x+y+2 z &=-2 \\2 x-3 y+8 z &=5\end{aligned}$