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 128: 48

Answer

b=-3

Work Step by Step

Use cross multiplication since the variable is on both sides of the proportion. $\frac{b+13}{2}=\frac{-5b}{3}$ cross multiply $3(b+13)=2(-5b)$ distributive property $3b+39=-10b$ subtract 3b from both sides $3b+39-3b=-10b-3b$ combine like terms $39=-13b$ divide both sides by -13 $39\div-13=-13b\div-13$ $-3=b$
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