Solve the System of Equations Below Using Gaussian Elimination $$\begin{aligned}5 x + 4 y + 3 z & = - 72 \\x - 2 y + 2 z & = - 48 \\x - y - z & = 24\end{aligned}$$

Multiple Choice

Solve the system of equations below using Gaussian elimination.
$$\begin{aligned}5 x + 4 y + 3 z & = - 72 \\x - 2 y + 2 z & = - 48 \\x - y - z & = 24\end{aligned}$$

A) $( 1 , - 1 , - 22 )$
B) $( 1,0 , - 23 )$
C) $( 0,1 , - 25 )$
D) $( - 1,1 , - 26 )$
E) $\quad ( 0,0 , - 24 )$