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: 49

Answer

$b=-\frac{2}{3}$

Work Step by Step

Use cross multiplication since the variable is in the numerator and denominator. $\frac{3b}{b-4}=\frac{3}{7}$ cross multiply $21b=3(b-4)$ distributive property $21b=3b-12$ subtract 3b from both sides $21b-3b=3b-12-3b$ combine like terms $18b=-12$ divide both sides by 18 $18b\div18=-12\div18$ $b=-\frac{2}{3}$
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