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: 26

Answer

{13}

Work Step by Step

2x - 7 = 6 + x Step 1 : Collect variable terms on one side and constants on the other side. subtract x from both the sides 2x - 7 -x = 6 + x -x Simplify x -7 = 6 Add 7 on both the sides x -7 + 7= 6+7 Simplify x = 13 Now we check the proposed solution,13 , by replacing x with 13 in the original equation. Step 1: the original equation 2x - 7 = 6 + x Step2: Substitute 13 for x 2 . 13 - 7 = 6 + 13 Step 3: Multiply 2.13 = 26 26 - 7 = 6 + 13 Step 4: Solve 19 = 19 Since the check results in true statement, we conclude that the solution set of the given equation is {13}
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