Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - 5.2 Factoring Trinomials of the Type x2+bx+c - 5.2 Exercise Set: 70

Answer

$x=2$

Work Step by Step

Using the properties of equality, the solution to the given equation, $ \dfrac{1}{3}x-\dfrac{1}{6}=\dfrac{1}{2} ,$ is \begin{array}{l}\require{cancel} 6\left( \dfrac{1}{3}x-\dfrac{1}{6}\right)=\left( \dfrac{1}{2} \right) 6 \\\\ 2(1x)-1(1)=1(3) \\\\ 2x-1=3 \\\\ 2x=3+1 \\\\ 2x=4 \\\\ x=\dfrac{4}{2} \\\\ x=2 .\end{array}
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