Chapter 11 - Systems of Equations and Inequalities - 11.2 Systems of Linear Equations: Matrices - 11.2 Assess Your Understanding - Page 730: 8

\[ \left[\begin{array}{rr|r} 3 & 4 & 7 \\ 4 & -2 & 5 \\ \end{array} \right] \]

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: \[ \left[\begin{array}{rr|r} 3 & 4 & 7 \\ 4 & -2 & 5 \\ \end{array} \right] \]