Use Gaussian Elimination to Solve the Linear System by Finding $$\begin{array} { r } x - y + 5 z = - 21 \\5 x + z = - 4 \\x + 2 y + z = - 2\end{array}$$

Multiple Choice

Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
- $$\begin{array} { r } x - y + 5 z = - 21 \\5 x + z = - 4 \\x + 2 y + z = - 2\end{array}$$

A) $( - 4,0,1 )$
B) no solution
C) $( - 4,1,0 )$
D) $( 0,1 , - 4 )$