Use Gaussian Elimination and Matrices to Solve the System of Linear

Multiple Choice

Use Gaussian elimination and matrices to solve the system of linear equations. Write your final augmented matrix in triangular form and then solve for each variable using back substitution.
- $$\begin{aligned}x - y + 4 z & = 16 \\4 x + z & = 5 \\x + 5 y + z & = 25\end{aligned}$$

A) (0, 4, 5)
B) (5, 4, 0)
C) (0, 5, 4)
D) (5, 0, 4)