Use Cramer's Rule to Solve (If Possible)the System of Equations $$\left\{ \begin{array} { r } 5 x - 4 y + z = - 12 \\- x + 2 y - 2 z = 12 \\3 x + y + z = - 2\end{array} \right.$$

Multiple Choice

Use Cramer's Rule to solve (if possible) the system of equations. ?? $$\left\{ \begin{array} { r } 5 x - 4 y + z = - 12 \\- x + 2 y - 2 z = 12 \\3 x + y + z = - 2\end{array} \right.$$ ?

A) (0,2,-4)
B) (0,-2,4)
C) (0,-2,-4)
D) (0,2,0)
E) (0,2,4)