Use Cramer's Rule to Solve the System of Equations $\begin{aligned}x - y & + 5 z = 4 \\3 x & + z = 0 \\x + 4 y & + z = - 16\end{aligned}$

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
$\begin{aligned}x - y & + 5 z = 4 \\3 x & + z = 0 \\x + 4 y & + z = - 16\end{aligned}$

A) {(0,-4,4) }
B) {(0,0,-4) }
C) {(0,-4,0) }
D) Cramer's rule does not apply since $\mathrm { D } = 0 ; \varnothing$