Find All Solutions of the System $$\left\{ \begin{array} { r } x + y + z = 12 \\2 x - y - z = - 5 \\6 x + 2 y + z = 30\end{array} \right.$$

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{array} { r } x + y + z = 12 \\2 x - y - z = - 5 \\6 x + 2 y + z = 30\end{array} \right.$$

A) $\left( \frac { 10 } { 3 } , \frac { 16 } { 3 } , \frac { 10 } { 3 } \right)$
B) $\left( 19 , \frac { 10 } { 3 } , \frac { 7 } { 3 } \right)$
C) $\left( \frac { 7 } { 3 } , \frac { 19 } { 3 } , \frac { 10 } { 3 } \right)$
D) $\text { The system is dependent. }$
E) $\text { The system is inconsistent. }$