Find the Solution or Solutions, If Any Exist, to the System

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { c } x + 4 y - 2 z = - 5 \\3 x - 6 y + 6 z = 7 \\5 x + 2 y + 2 z = - 3\end{array} \right.$$

A) infinitely many solutions of the form $x = - \frac { 1 } { 9 } - \left( \frac { 2 } { 3 } \right) z , y = - \frac { 11 } { 9 } + \left( \frac { 2 } { 3 } \right) z , z = z$
B) $x = 0 , y = 0 , z = 1$
C) infinitely many solutions of the form $x = 8 - \frac { 2 } { 9 } z , y = 1 - \frac { 17 } { 18 } z , z = z$
D) inconsistent system, no solution