Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-4 Application of Linear Systems - Lesson Check - Page 386: 3


Air speed: 2.25 mi/h Wind speed: 0.75 mi/h

Work Step by Step

Let "a" be air speed and "w" be wind speed We have: a+w=3 (tailwind) a-w=1.5 (headwind) Elimination method: (a+w)-(a-w)=3-1.5 => a-a+w+w=1.5 => 2w=1.5 => w=0.75 a+0.75=3 => a=3-0.75=> a=2.25 Air speed: 2.25 mi/h Wind speed: 0.75 mi/h
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