The Matrix Associated with the Solution to a System of Linear

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $$\left[ \begin{array} { r r r | r } 5 & 2 & 1 & - 8 \\2 & - 3 & - 1 & - 5 \\5 & 1 & 4 & 5\end{array} \right]$$

A) $x = - 2 , y = 4 , z = - 1$
B) $x = 4 , y = - 2 , z = - 1$
C) $x = 4 , y = - 1 , z = - 2$
D) $x = - 2 , y = - 1 , z = 4$