Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { c c c : c } 1 & 8 & 9 & - 33 \\0 & 1 & - 1 & 2 \\0 & 0 & 1 & - 3\end{array} \right]$

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables x, y, and z.) $\left[ \begin{array} { c c c : c } 1 & 8 & 9 & - 33 \\0 & 1 & - 1 & 2 \\0 & 0 & 1 & - 3\end{array} \right]$

A) x = 43, y = -5, z = -4
B) x = -1, y = 2, z = -3
C) x = 2, y = 1, z = 3
D) x = 2, y = -1, z = -3
E) x = 1, y = -3, z = -2