Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - 11-3 Probability of Multiple Events - Practice and Problem-Solving Exercises - Page 693: 54



Work Step by Step

Using the properties of equality, the given equation, $ \dfrac{1}{2}-x=\dfrac{x}{6} ,$ is equivalent to \begin{align*}\require{cancel} 6\left(\dfrac{1}{2}-x\right)&=\left(\dfrac{x}{6}\right)6 &\text{(multiply by the $LCD$)} \\\\ 3(1)-6(x)&=x(1) \\ 3-6x&=x \\ -6x-x&=-3 \\ -7x&=-3 \\\\ \dfrac{-7x}{-7}&=\dfrac{-3}{-7} \\\\ x&=\dfrac{3}{7} .\end{align*} Hence, the solution is $ x=\dfrac{3}{7} $.
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