Solve the System $$\left\{ \begin{array} { r } x + y + z = 6 \\x - y + 3 z = 10 \\2 x + 2 y + 2 z = 8\end{array} \right.$$

Multiple Choice

Solve the system.
- $$\left\{ \begin{array} { r } x + y + z = 6 \\x - y + 3 z = 10 \\2 x + 2 y + 2 z = 8\end{array} \right.$$

A) $( 3,2,1 )$
B) $( 2,1,3 )$
C) $( 3,1,2 )$
D) $\varnothing$