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 319: 23

Answer

.25 per mile, daily fee of $32

Work Step by Step

4 day trip, 450 miles = 240.50 3 day trip, 200 miles = 146 $4x+450y=240.50$ $3x+200y=146$ $4x+450y=240.50$ $-3(4x+450y=240.50)$ $-12x-1350y=-721.5$ $3x+200y=146$ $4*(3x+200y=146)$ $12x+800y=584$ $-12x-1350y=-721.5$ $12x+800y=584$ $12x+800y+(-12x-1350y)=584-721.5$ $12x-12x+800y-1350y=-137.5$ $-550y=-137.5$ $-550y/-550=-137.5/-550$ $y=.25$ $3x+200y=146$ $3x+200*.25=146$ $3x+50=146$ $3x=96$ $3x/3=96/3$ $x=32$
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