Write the System of Linear Equations Represented by the Augmented

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables. Then use back-substitution to find the solution.
- $\left[ \begin{array} { r r r | r } 1 & \frac { 3 } { 2 } & 1 & \frac { 1 } { 2 } \\ 0 & 1 & - \frac { 1 } { 2 } & - 8 \\ 0 & 0 & 1 & 4 \end{array} \right]$

A) $\left\{ \left( \frac { 11 } { 2 } , - 6,4 \right) \right\}$
B) $\left\{ \left( \frac { 1 } { 2 } , - 8,4 \right) \right\}$
C) $\left\{ \left( - 3 , - \frac { 17 } { 2 } , 3 \right) \right\}$
D) $\left\{ \left( - \frac { 21 } { 2 } , - 6,4 \right) \right\}$