Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 373: 19


TV: 9 years Sleeping: 28 years.

Work Step by Step

1. Let x represent the years spent wathching TV. 2. Let y represent the years spent sleeping. Then, y=x+19 3. The sum of x and y is 37: $x+(x+19)=37$ 4. Solve, answer. $ x+(x+19)=37\quad$... simplify LHS $2x+19=37\qquad/-19$ $2x=18\qquad/\div 2$ $x=9$ 9 years of watching TV, 9+19=28 years of sleeping 5. Check: 28 exceeds 9 by 19. Watching TV or sleeping (9+28) equals 37 years (OK). The graph also confirms these results.
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.