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: 12

Answer

{$\frac{-1}{2}$}

Work Step by Step

-6x =3 Step 1: Divide both the sides by -6 $\frac{-6x}{-6}$ = $\frac{3}{-6}$ Step 2: Simplify x= $\frac{-1}{2}$ Now we check the proposed solution, $\frac{-1}{2}$, by replacing x with $\frac{-1}{2}$ in the original equation. Step 1: the original equation -6x =3 Step2: Substitute $\frac{-1}{2}$ for x -6.($\frac{-1}{2}$) = 3 Step 3: Solve -6. ($\frac{-1}{2}$) = 3 3=3 Since the check results in true statement, we conclude that the solution set of the given equation is {$\frac{-1}{2}$}
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