Solve the System of Equations Below Using Gaussian Elimination $\begin{aligned}5 x + 4 y + 3 z & = 54 \\x - 2 y + 2 z & = 36 \\x - y - z & = - 18\end{aligned}$

Multiple Choice

Solve the system of equations below using Gaussian elimination.
$\begin{aligned}5 x + 4 y + 3 z & = 54 \\x - 2 y + 2 z & = 36 \\x - y - z & = - 18\end{aligned}$

A) $( 1 , - 1,20 )$
B) $( 1,0,19 )$
C) $( 0,1,17 )$
D) $( - 1,1,16 )$
E) $( 0,0,18 )$