Algebra 1

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

Chapter 2 - Solving Equations - 2-7 Solving Proportions - Practice and Problem-Solving Exercises - Page 127: 32



Work Step by Step

$\frac{q+2}{5}=\frac{2q-11}{7}$ cross multiply $5(2q-11)=7(q+2)$ distributive property $10q-55=7q+14$ subtract 7q from both sides; add 55 to both sides $10q-55-7q+55=7q+14-7q+55$ combine like terms $3q=69$ divide both sides by 3 $3q\div3=69\div3$ $q=23$
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