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: 46

Answer

{4}

Work Step by Step

$\frac{3x}{4}$ - 9 =-6 Step 1 : Multiply both the sides by 4 $\frac{3x}{4}$ . 4 - 9.4 =-6.4 Solve 3x - 36 = -24 Step 2 : Collect variable terms on one side and constants on the other side. add 36 on both the sides 3x -36 + 36 = -24 + 36 3x = 12 Step 3: Divide both the sides by 3 $\frac{3x}{3}$ = $\frac{12}{3}$ x = 4 Now we check the proposed solution, 4 , by replacing x with 4 in the original equation. Step 1: the original equation $\frac{3x}{4}$ - 9 =-6 Step2: Substitute 4 for x $\frac{3. 4}{4}$ - 9 =-6 Step 3: Simplify $\frac{12}{4}$ - 9 =-6 Step 4 : Divide $\frac{12}{4}$ = 3 3 -9 = -6 Solve -6 =-6 Since the check results in true statement, we conclude that the solution set of the given equation is {4}.
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