Solve the System $$\left\{ \begin{array} { l } x - y + z = 4 \\x + y + z = - 4 \\x + y - z = 0\end{array} \right.$$

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- $$\left\{ \begin{array} { l } x - y + z = 4 \\x + y + z = - 4 \\x + y - z = 0\end{array} \right.$$

A) no solution or $\varnothing$
B) infinitely many solutions; dependent equations
C) $\{ ( 2 , - 4 , - 2 ) \}$
D) $\{ ( 2 , - 2 , - 4 ) \}$