Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2: 16

Answer

{16}

Work Step by Step

5x - 8 = 72 Step 1: Add 8 on both the sides 5x -8 +8 = 72+8 Step 2: Simplify 5x = 80 Step 3: Divide both the sides by 5 $\frac{5x}{5}$ = $\frac{80}{5}$ Step 4: Simplify x = 16 Now we check the proposed solution, 16, by replacing x with 16 in the original equation. Step 1: the original equation 5x -8 = 72 Step2: Substitute 16 for x 5.16 - 8 =72 Step 3: Multiply 5.16 = 80 80 -8 = 72 Step 4: Subtract 80 -8 =72 72 =72 Since the check results in true statement, we conclude that the solution set of the given equation is {16}
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