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.
- $$\left[ \begin{array} { r r r | r } 1 & 1 & 1 & - 4 \\1 & - 1 & 4 & - 26 \\5 & 1 & 1 & - 24\end{array} \right]$$

A) $x = - 5 , y = 5 , z = - 4$
B) $x = - 4 , y = 5 , z = - 5$
C) $x = - 4 , y = - 5 , z = 5$
D) $x = - 5 , y = - 4 , z = 5$