Solve the System of Equations by Using the Inverse of the Coefficient

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix.
- $$\begin{array}{l}x-y+3 z=5 \\2 x+z=1 \\x+4 y+z=-7\end{array}$$

A) $(1,-2,0)$
B) $(1,0,-2)$
C) $(0,-2,1)$
D) No inverse, no solution for system