Use Cramer's Rule to Solve (If Possible) the System of Equations

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)