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.
- $\left[ \begin{array} { r r r | r } 1 & \frac { 5 } { 2 } & 1 & \frac { 9 } { 2 } \\ 0 & 1 & \frac { 3 } { 2 } & 8 \\ 0 & 0 & 1 & - 4 \end{array} \right]$

A) $\left\{ \left( - \frac { 53 } { 2 } , 14 , - 4 \right) \right\}$
B) $\left\{ \left( \frac { 9 } { 2 } , 8 , - 4 \right) \right\}$
C) $\left\{ \left( 0 , \frac { 11 } { 2 } , - 5 \right) \right\}$
D) $\left\{ \left( \frac { 11 } { 2 } , 14 , - 4 \right) \right\}$