Solve the System of Linear Equations $\left\{ \begin{array} { l } 2 x + 3 y = - 15 \\4 x - 3 y = 10\end{array} \right.$

question 5

Multiple Choice

Solve the system of linear equations $\left\{ \begin{array} { l } 2 x + 3 y = - 15 \\4 x - 3 y = 10\end{array} \right.$ using the inverse matrix $\left[ \begin{array} { c c } \frac { 1 } { 6 } & \frac { 1 } { 6 } \\\frac { 2 } { 9 } & - \frac { 1 } { 9 }\end{array} \right]$

• A) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 5 } { 6 } \\
• \frac { 5 } { 2 }
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 5 } { 6 } \\
• - \frac { 40 } { 9 }
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• \frac { 25 } { 18 } \\
• \frac { 5 } { 2 }
• \end{array} \right]\)
• D) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { l }
• \frac { 5 } { 2 } \\
• 0
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• - \frac { 5 } { 3 } \\
• \frac { 5 } { 6 }
• \end{array} \right]\)

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