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

question 36

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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