Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.5 - Rewriting Equations and Formulas - Monitoring Progress - Page 36: 2

Answer

$y=\frac{2x-5}{2}$.

Work Step by Step

The given equation is $\Rightarrow 2x-2y=5$ Subtract $2x$ from each side. $\Rightarrow 2x-2y-2x=5-2x$ Simplify. $\Rightarrow -2y=5-2x$ Divide both sides by $-2$. $\Rightarrow \frac{-2y}{-2}=\frac{5-2x}{-2}$ Simplify. $\Rightarrow y=-\frac{5-2x}{2}$ $\Rightarrow y=\frac{2x-5}{2}$ Hence, the rewritten literal equation is $y=\frac{2x-5}{2}$.
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