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

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

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