Use Cramer's Rule to Solve the System of Equations $$\begin{array} { c } 5 x + 4 y - z = 39 \\x + 5 y - 6 z = - 5 \\5 x + y + z = 31\end{array}$$

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { c } 5 x + 4 y - z = 39 \\x + 5 y - 6 z = - 5 \\5 x + y + z = 31\end{array}$$

A) $\{ ( 3 , - 8 , - 8 ) \}$
B) $\{ ( 3,8,8 ) \}$
C) $\{ ( 4,6,8 ) \}$
D) $\{ ( 8,8,8 ) \}$