The Following System Does Not Have a Unique Solution $$\left\{ \begin{array} { c } x - y + z = 8 \\x + y + z = 6 \\3 x + y + 3 z = 10\end{array} \right.$$

Multiple Choice

The following system does not have a unique solution. Solve the system.
- $$\left\{ \begin{array} { c } x - y + z = 8 \\x + y + z = 6 \\3 x + y + 3 z = 10\end{array} \right.$$

A) $x = - 2 , y = 1 , z = 9$
B) $x = 7 , y = - 1 , z = 0$
C) inconsistent system, no solution
D) $x = 5 , y = 3 , z = 6$