Solve the System by Gauss - Jordan Elimination ​
A) $( - 12 , - 16 , - 30 )$

Multiple Choice

Solve the system by Gauss - Jordan elimination.​ $$\left\{ \begin{aligned}\frac { 1 } { 3 } x + \frac { 3 } { 4 } y - \frac { 2 } { 3 } z & = - 4 \\x + \frac { 1 } { 2 } y + \frac { 1 } { 3 } z & = 30 \\\frac { 1 } { 6 } x - \frac { 1 } { 8 } y - z & = - 30\end{aligned} \right.$$ ​

A) $( - 12 , - 16 , - 30 )$ ​
B) $( - 12,16 , - 30 )$ ​
C) $( 12,16,30 )$ ​
D) $( 0,16 , - 30 )$ ​
E) $( 12 , - 16,30 )$ ​