Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 77

Answer

This equation is true for x = 0. x = {0}

Work Step by Step

Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0. x $\ne$ 3 Because x - 6 is in the denominator, and the denominator cannot equal 0, x - 6 $\ne$ 0. x $\ne$ 6 To solve this equation, we equate the cross products. 5 $\times$ (x - 6) = 10 $\times$ (x - 3) Use the distributive property. 5x - 30 = 10x - 30 Subtract 5x from both sides. -30 = 5x - 30 Add 30 to both sides. 0 = 5x Divide both sides by 5 x = 0
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