Use Cramer's Rule to Solve the System of Equations $\begin{array} { l } 2 x + 5 y + z = - 6 \\4 x - 3 y - z = 24 \\3 x + y + 3 z = 12\end{array}$

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
$\begin{array} { l } 2 x + 5 y + z = - 6 \\4 x - 3 y - z = 24 \\3 x + y + 3 z = 12\end{array}$

A) {(4,-3,1) }
B) Cramer's rule does not apply since $\mathrm { D } = 0 ; \not$
C) {(4,1,-3) }
D) {(1,-3,4) }