# Chapter 1 - Section 1.2 - Formulas and Percent - 1.2 Exercises - Page 62: 35

$y=\dfrac{3}{2}x-3$

#### Work Step by Step

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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.