Algebra 1

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

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Standardized Test Prep: 80

Answer

H

Work Step by Step

Use cross multiplication to solve for b. $\frac{3}{b}=\frac{7}{8-b}\longrightarrow$ cross multiply $3(8-b)=7b\longrightarrow$ multiply using distributive property $24-3b=7b\longrightarrow$ add 3b to each side $24-3b+3b=7b+3b\longrightarrow$ add $24=10b\longrightarrow$ multiply each side by 10 $\frac{24}{10}=\frac{10b}{10}\longrightarrow$ reduce $\frac{12}{5}=b$
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