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: 16

Answer

$x=\frac{y}{3b-7}$, where $b\neq0$.

Work Step by Step

The given equation is $\Rightarrow y=3bx-7x$ Use distributive property. $\Rightarrow y=x(3b-7)$ Divide each side by $3b-7$. $\Rightarrow \frac{y}{3b-7}=\frac{x(3b-7)}{3b-7}$ Simplify. $\Rightarrow \frac{y}{3b-7}=x$ Hence, the rewritten literal equation is $x=\frac{y}{3b-7}$, where $b\neq0$.
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