Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 205: 12

Answer

$x=70,y=110$

Work Step by Step

Given: $x+y=180$ and $4.50x+8.25y=1222.50$ After plugging first equation in second equation, we have $4.50(180-y)+8.25y=1222.50 \implies 3.75y=412.50$ or, $y=110$ Now, $x+110=180$ or, $x=180-110=70$ Thus, $x=70,y=110$
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