Solve the System Using Determinants $$\begin{array} { l } x - y + 4 z = - 5 \\5 x + z = 0 \\- x + y - 4 z = 15\end{array}$$

Multiple Choice

Solve the system using determinants.
- $$\begin{array} { l } x - y + 4 z = - 5 \\5 x + z = 0 \\- x + y - 4 z = 15\end{array}$$

A) (4, 5, 0)
B) (0, 0, 5)
C) infinite number of solutions
D) no solution