Intermediate Algebra (12th Edition)

Published by Pearson

Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises: 36

Answer

$y=\dfrac{5}{3}x-5$

Work Step by Step

Using the properties of equality, in terms of $y ,$ the given equation, $\dfrac{2}{3}x-\dfrac{2}{5}y=2 ,$ is equivalent to \begin{array}{l}\require{cancel} 15\left(\dfrac{2}{3}x-\dfrac{2}{5}y\right)=(2)15 \\\\ 5(2x)-3(2y)=30 \\\\ 10x-6y=30 \\\\ -6y=-10x+30 \\\\ y=\dfrac{-10}{-6}x+\dfrac{30}{-6} \\\\ y=\dfrac{5}{3}x-5 .\end{array}

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