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: 6

Answer

$x=\frac{y-3}{5-k}$.

Work Step by Step

The given equation is $\Rightarrow 3+5x-kx=y$ Subtract $3$ from each side. $\Rightarrow 3+5x-kx-3=y-3$ Simplify. $\Rightarrow 5x-kx=y-3$ Use distributive property. $\Rightarrow x(5-k)=y-3$ Divide both sides by $5-k$. $\Rightarrow \frac{x(5-k)}{5-k}=\frac{y-3}{5-k}$ Simplify. $\Rightarrow x=\frac{y-3}{5-k}$ Hence, the rewritten literal equation is $x=\frac{y-3}{5-k}$.
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