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

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) $\left[ \begin{array} { l } x \\y\end{array} \right] = \left[ \begin{array} { c } - \frac { 5 } { 3 } \\\frac { 5 } { 6 }\end{array} \right]$