Solve the System by Using the Inverse of the Coefficient $x-y+4 z=-4$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $x-y+4 z=-4$
$5 x+z=0$
$x+3 y+z=12$

A) No solution
B) $(0,4,-4)$
C) $(0,4,0)$
D) $(0,0,4)$