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: 19

Answer

$x=\frac{r}{s+t}$, where $s\neq0$ and $t\neq 0$.

Work Step by Step

The given equation is $\Rightarrow sx+tx=r$ Use distributive property. $\Rightarrow x(s+t)=r$ Divide each side by $s+t$. $\Rightarrow \frac{x(s+t)}{s+t}=\frac{r}{s+t}$ Simplify. $\Rightarrow x=\frac{r}{s+t}$ Hence, the rewritten literal equation is $x=\frac{r}{s+t}$, where $s\neq0$ and $t\neq 0$.
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