Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 165: 21


9 years watching TV. 28 years spent sleeping.

Work Step by Step

Let $x$ be the number of years spent watching TV. The number of years spent sleeping is then $x+19$. The total number of years sleeping and watching TV is 37, so $x+x+19=37$ Combine like terms. $2x+19=37$ Use the addition property of equality to subtract 19 from both sides of the equation. $2x+19-19=37-19$ Combine like terms. $2x=18$ Use the multiplication property of equality to divide both sides of the equation by 2. $2x\div2=18\div2$ Simplify. $x=9$ 9 years are spent watching TV. $x+19=9+19=28$ years are spent sleeping.
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