Solve the System of Equations $\left\{ \begin{array} { r } 3 x + 2 y = 8 \\x - 2 y = 0\end{array} \right.$

Essay

Solve the system of equations $\left\{ \begin{array} { r } 3 x + 2 y = 8 \\x - 2 y = 0\end{array} \right.$
by converting to a matrix equation and using its inverse coefficient matrix $\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \\\frac { 1 } { 3 } & - \frac { 3 } { 3 }\end{array} \right]$ .