Solve the System of Linear Equations $\left\{ \begin{array} { l l } 7 x + 7 y + 7 z & = 0 \\21 x + 35 y + 28 z & = 6 \\21 x + 42 y + 35 z & = 1\end{array} \right.$

question 206

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l l } 7 x + 7 y + 7 z & = 0 \\21 x + 35 y + 28 z & = 6 \\21 x + 42 y + 35 z & = 1\end{array} \right.$ using the inverse matrix $\frac { 1 } { 7 } \left[ \begin{array} { c c c } 1 & 1 & - 1 \\- 3 & 2 & - 1 \\3 & - 3 & 2\end{array} \right]$ .

• A) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 5 } { 7 } \\
• \frac { 11 } { 7 } \\
• \frac { - 12 } { 7 }
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 5 } { 7 } \\
• \frac { 11 } { 7 } \\
• \frac { - 16 } { 7 }
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 16 } { 7 } \\
• \frac { 5 } { 7 } \\
• \frac { 11 } { 7 }
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 12 } { 7 } \\
• \frac { 11 } { 7 } \\
• \frac { - 5 } { 7 }
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 5 } { 7 } \\
• \frac { - 16 } { 7 } \\
• \frac { 11 } { 7 }
• \end{array} \right]\)

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