Use Cramer's Rule to Solve the System of Equations $$\begin{aligned}x - y & + 5 z = 5 \\3 x & + z = 0 \\x + 4 y & + z = - 20\end{aligned}$$

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{aligned}x - y & + 5 z = 5 \\3 x & + z = 0 \\x + 4 y & + z = - 20\end{aligned}$$

A) $\{ ( 0 , - 5,0 ) \}$
B) Cramer's rule does not apply since $D = 0 ; \varnothing$
C) $\{ ( 0,0 , - 5 ) \}$
D) $\{ ( 0 , - 5,5 ) \}$