​Solve the System of Linear Equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$

question 24

Multiple Choice

​Solve the system of linear equations $$\left\{ \begin{array} { l l } - 6 x + 18 y + 6 z & = 1 \\12 x + 30 y & = 2 \\18 x + 6 y - 12 z & = - 1\end{array} \right.$$ using an inverse matrix. ​

• A)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 1 } { 6 } \\\\
• \frac { - 1 } { 2 } \\\\
• \frac { 1 } { 3 }
• \end{array} \right]\] ​
• B)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\\\
• \frac { - 1 } { 2 } \\\\
• \frac { - 1 } { 3 }
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { - 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 2 }
• \end{array} \right]\]
• D)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 0 \\
• \frac { 1 } { 3 } \\
• \frac { - 1 } { 6 }
• \end{array} \right]\]
• E)​ \[\left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 1 } { 6 } \\
• 0 \\
• \frac { 1 } { 3 }
• \end{array} \right]\]

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