Algebra 1

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

Chapter 2 - Solving Equations - Chapter Review - 2-7 and 2-8 Solving Proportions and Using Similar Figures: 48

Answer

b = 39

Work Step by Step

$\frac{b + 3}{7}$ = $\frac{b - 3}{6}$ First, use the Cross Products Property. 6(b + 3) = 7(b - 3) Use the Distributive Property on both sides of the equation. 6(b) + 6(3) = 7(b) - 7(3) Simplify. 6b + 18 = 7b - 21 Subtract 6b from both sides of the equation. 6b + 18 - 6b = 7b - 21 - 6b 18 = 1b - 21 Add 21 to both sides of the equation. 18 + 21 = 1b - 21 + 21 39 = 1b Divide both sides by 1. $\frac{39}{1}$ = $\frac{1b}{1}$ 39 = b
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