Solve the System Using Determinants $$\begin{array} { l } 3 x + y - 3 z = 6 \\- x + 3 y + 2 z = 6 \\- 5 x - 5 x + 4 z = - 18\end{array}$$

Multiple Choice

Solve the system using determinants.
- $$\begin{array} { l } 3 x + y - 3 z = 6 \\- x + 3 y + 2 z = 6 \\- 5 x - 5 x + 4 z = - 18\end{array}$$

A) (-3, 3, -3)
B) (0, 0, -2)
C) infinite number of solutions
D) no solution