An Augmented Matrix That Represents a System of Linear Equations $\left[ \begin{array} { c c c : c } 1 & 0 & 0 & - 3 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & 1\end{array} \right]$

Multiple Choice

An augmented matrix that represents a system of linear equations (in variables x, y, and z) has been reduced using Gauss-Jordan elimination. Write the solution represented by the augmented matrix. $\left[ \begin{array} { c c c : c } 1 & 0 & 0 & - 3 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & 1\end{array} \right]$

A) x = -3, y = -6, z = 1
B) x = 3, y = 6, z = -1
C) x = 0, y = 0, z = 0
D) x = -3x, y = y, z = -6z
E) x = -3, y = 0, z = 0