Use Matrix Inversion to Solve the System of Linear Equations $\begin{aligned}x + 2 y + z & = 8 \\x + y + z & = 7 \\3 x + y + z & = 25\end{aligned}$

Multiple Choice

Use matrix inversion to solve the system of linear equations. $\begin{aligned}x + 2 y + z & = 8 \\x + y + z & = 7 \\3 x + y + z & = 25\end{aligned}$

A) $x = 7$ , $y = 4$ , $z = - 1$
B) $x = 12$ , $y = 3$ , $z = - 5$
C) $x = 11$ , $y = - 1$ , $z = 0$
D) $x = 9$ , $y = 1$ , $z = - 3$
E) The system is inconsistent.