Write the System of Linear Equations Represented by the Augmented

question 115

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) \(\left\{ \left( \frac { 11 } { 2 } , 14 , - 4 \right) \right\}\)

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