Answer
\[ \left[\begin{array}{rr|r} \frac{4}{3} & \frac{-3}{2} & \frac{3}{4} \\ \frac{-1}{4} & \frac{1}{3} & \frac{2}{3} \\ \end{array} \right] \]
Work Step by Step
We know that \[ \left\{ \begin{array}{c} a_1x+b_1y=c_1 \\ a_2x+b_2y=c_2 \\ \end{array} \right. \] becomes \[ \left[\begin{array}{rr|r} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ \end{array} \right] \] Hence here the augmented matrix is: \[ \left[\begin{array}{rr|r} \frac{4}{3} & \frac{-3}{2} & \frac{3}{4} \\ \frac{-1}{4} & \frac{1}{3} & \frac{2}{3} \\ \end{array} \right] \]