Solve the System Using the Inverse Matrix $\begin{aligned}x + 3 y + z & = 19 \\x + y + z & = 7 \\4 x + y + z & = 25\end{aligned}$

Multiple Choice

Solve the system using the inverse matrix. $\begin{aligned}x + 3 y + z & = 19 \\x + y + z & = 7 \\4 x + y + z & = 25\end{aligned}$

A) $x = 9$ , $y = 4$ , $z = - 6$
B) $x = 4$ , $y = 5$ , $z = - 2$
C) $x = 5$ , $y = 9$ , $z = - 7$
D) $x = 6$ , $y = 6$ , $z = - 5$
E) The system is inconsistent.