Solve the System A) $( 6 , - 6,4 )$ B) $( 6,6,4 )$

Multiple Choice

Solve the system. $\left\{ \begin{array} { l } x + \frac { 1 } { 3 } y + z = 12 \\\frac { 1 } { 3 } x - y + \frac { 1 } { 2 } z = - 2 \\x + \frac { 1 } { 2 } y - \frac { 1 } { 2 } z = 7\end{array} \right.$

A) $( 6 , - 6,4 )$
B) $( 6,6,4 )$
C) $( - 6,6 , - 4 )$
D) The system is inconsistent.
E) The equations are dependent.