Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

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

Answer

One solution

Work Step by Step

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)
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