Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 372: 31

One solution

Given: 1.5x+2y=11 3x+6y=22 6y=22-3x => y=(22-3x)/6 => y=$\frac{11}{3}$-$\frac{1}{2}$x 1.5x+2($\frac{11}{3}$-$\frac{1}{2}$x)=11 1.5x+$\frac{22}{3}$-x=11 $\frac{1}{2}$x$=\frac{11}{3}$ x=$\frac{22}{3}$ 3($\frac{22}{3}$)+6y=22 22+6y=22 6y=0 y=0 One solution ($\frac{22}{3}$,0)