Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.6 Rational Expressions and Equations - R.6 Exercise Set - Page 980: 15


The value of $\frac{2x}{x-7}-\frac{x+7}{x-7}$ is$1$.

Work Step by Step

$\frac{2x}{x-7}-\frac{x+7}{x-7}$ Here, the denominators are same. So, subtract the two numerators and keep the common denominator. $\frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{\left( 2x \right)-\left( x+7 \right)}{x-7}$ Group the like terms and simplify the terms further: $\begin{align} & \frac{2x}{x-7}-\frac{x+7}{x-7}=\frac{2x-x-7}{x-7} \\ & =\frac{x-7}{x-7} \\ & =1 \end{align}$
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