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.
- $$\left[ \begin{array} { r r r | r } 1 & - 1 & 1 & - 3 \\1 & 1 & 1 & 3 \\1 & 1 & - 1 & 1\end{array} \right]$$

A) $x = 1 , y = - 1 , z = 3$
B) $x = - 1 , y = 3 , z = 1$
C) $x = - 3 , y = 3 , z = 1$
D) $x = - 1 , y = 1 , z = 3$