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 - Exercises - Page 40: 22

Answer

$x=\frac{y+9}{1+2w}$, where $w\neq0$.

Work Step by Step

The given equation is $\Rightarrow x-9+2wx=y$ Add $9$ to each side. $\Rightarrow x-9+2wx+9=y+9$ Simplify. $\Rightarrow x+2wx=y+9$ Use distributive property. $\Rightarrow x(1+2w)=y+9$ Divide each side by $1+2w$. $\Rightarrow \frac{x(1+2w)}{1+2w}=\frac{y+9}{1+2w}$ Simplify. $\Rightarrow x=\frac{y+9}{1+2w}$ Hence, the rewritten literal equation is $x=\frac{y+9}{1+2w}$, where $w\neq0$.
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