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: 19

Answer

{11}

Work Step by Step

14 - 5x = -41 Step 1: Subtract 14 from both the sides 14 -5x -14 = -41-14 Step 2: Simplify - 5x= -55 Step 3: Divide both the sides by -5 $\frac{-5x}{-5}$ = $\frac{-55}{-5}$ Step 4: Simplify x = 11 Now we check the proposed solution, 11, by replacing x with 11 in the original equation. Step 1: the original equation 14 - 5x = -41 Step2: Substitute 11 for x 14 - 5.(11) = -41 Step 3: Multiply 5.(11) = 55 14 - 55 = -41 Step 4: Solve 14 -55 = -41 -41 =-41 Since the check results in true statement, we conclude that the solution set of the given equation is {11}
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