Solve the System of Linear Equations $\left\{ \begin{array} { l l } - 8 x + 24 y + 8 z & = 5 \\ 16 x + 40 y & = 10 \\ 24 x + 8 y - 16 z = - 5 \end{array} \right.$

question 118

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l l } - 8 x + 24 y + 8 z & = 5 \\ 16 x + 40 y & = 10 \\ 24 x + 8 y - 16 z = - 5 \end{array} \right.$ using an inverse

• A)
• \(\left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { c } - \frac { 5 } { 8 } \\ 0 \\ \frac { 15 } { 8 } \end{array} \right]\)
• B) \(\left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { c } 0 \\ \frac { 5 } { 4 } \\ 5 \\ - \frac { 2 } { 8 } \end{array} \right]\)
• C) \(\left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ - \frac { 15 } { 8 } \\ \frac { 5 } { 4 } \end{array} \right]\)
• D) \(\left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { c } \frac { 5 } { 8 } \\ 0 \\ \frac { 5 } { 4 } \end{array} \right]\)
• E) \(\left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { c } - \frac { 5 } { 8 } \\ - \frac { 15 } { 8 } \\ 5 \\ - \frac { 5 } { 4 } \end{array} \right]\)

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