Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 76

Answer

There are no values of x that will make this equation true.

Work Step by Step

Because 2x + 1 is in the denominator, and the denominator cannot equal 0, 2x + 1 $\ne$ 0 2x $\ne$ -1 x $\ne$ -$\frac{1}{2}$ Because x - 3 is in the denominator, and the denominator cannot equal 0, x - 3 $\ne$ 0 x $\ne$ 3 To solve this equation, we equate the cross products. 8 $\times$ (x - 3) = 4 $\times$ (2x + 1) Use the distributive property. 8x - 24 = 8x + 4 Subtract 8x from both sides. -24 = 4 We can see that this equation will never be true for any value of x.
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.