Solve the System of Linear Equations $\left\{ \begin{array} { l } 3 x + 6 y = 1 \\6 x + 8 y = 2\end{array} \right.$

question 252

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l } 3 x + 6 y = 1 \\6 x + 8 y = 2\end{array} \right.$ using the inverse matrix $\left[ \begin{array} { c c } - \frac { 2 } { 3 } & \frac { 1 } { 2 } \\\frac { 1 } { 2 } & - \frac { 1 } { 4 }\end{array} \right]$

• A) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 11 } { 12 } \\
• 0
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 1 } { 3 } \\
• 0
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 11 } { 12 } \\
• \frac { 1 } { 3 }
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 1 } { 3 } \\
• - \frac { 1 } { 2 }
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 1 } { 2 } \\
• \frac { 1 } { 3 }
• \end{array} \right.\)

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