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 6 - Rational Expressions and Equations - 6.6 Rational Equations - 6.6 Exercise Set - Page 416: 6

Answer

$$x=\frac{1}{4}$$

Work Step by Step

In order to solve rational equations, we try to get the variable by itself on one side of the equation. It is important to remember that there are many ways to do this. For instance, we could combine the different fractions and then simplify, or we could multiply both sides of the equation by the least common denominator. In addition, we may need previously learned methods of solving equations, such as factoring. Thus, solving the rational equation, we obtain: $$ \frac{x}{10}=\frac{5}{8}-\frac{3}{5}\\ \frac{x}{10}=\frac{1}{40}\\ x=\frac{1}{4}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.