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 1-3 - Cumulative Review - Page 228: 39

Answer

The equation has no solution.

Work Step by Step

Divide both sides by $5$: $\require{cancel} \dfrac{5(7+x)}{5}=\dfrac{(x+6)5}{5} \\\dfrac{\cancel{5}(7+x)}{\cancel{5}}=\dfrac{(x+6)\cancel{5}}{\cancel{5}} \\7+x=x+6$ Subtract $x$ to both sides: $7+x-x=x+6-x \\7=6$ The statement above is false; therefore the equation has no solution.
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.