Solve the System of Equations Below Using Gaussian Elimination $$\begin{aligned}5 x + 4 y + 3 z & = 90 \\x - 2 y + 2 z & = 60 \\x - y - z & = - 30\end{aligned}$$

Multiple Choice

Solve the system of equations below using Gaussian elimination.
$$\begin{aligned}5 x + 4 y + 3 z & = 90 \\x - 2 y + 2 z & = 60 \\x - y - z & = - 30\end{aligned}$$

A) $( 1 , - 1,32 )$
B) $( 1,0,31 )$
C) $( 0,1,29 )$
D) $( - 1,1,28 )$
E) $( 0,0,30 )$