Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.4 - Systems of Linear Equations and Problem Solving - Exercise Set - Page 320: 28

Answer

plane in still air: 452.6 mph wind speed: 52.6 mph

Work Step by Step

with wind: $(x+y)*4.75=2400$ into wind: $(x-y)*6=2400$ $(x+y)*4.75=2400$ $4.75x+4.75y=2400$ $(x+y)*4.75=2400$ $(x+y)*4.75*4=2400*4$ $(x+y)*19=9600$ $(x-y)*6=2400$ $(x-y)*6/6=2400/6$ $x-y=400$ $x-y+y=400+y$ $x=400+y$ $(x+y)*19=9600$ $(400+y+y)*19=9600$ $(400+2y)*19=9600$ $7600+38y=9600$ $38y=2000$ $38y/38=2000/38$ $y=52.632$ $x=400+y$ $x=400+52.632$ $x=452.632$
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