Solve the System of Equations $$\left\{ \begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array} \right.$$

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array} \right.$$

A) $x = 2 , y = - 1 , z = - 9$
B) $x = - 2 , y = - 1 , z = - 9$
C) $x = - 2 , y = - 1 , z = 9$
D) $x = 2 , y = - 1 , z = 9$