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 206: 36

Answer

$x=30,y=75$

Work Step by Step

As per the statement: $x+2y=180$ and $y+3x+15=180$ Plug $x=180-2y$ in the second equation, then we get $y+3(180-2y)+15=180 \implies -5y=-375$ or, $y=75$ Now, $x+2(75)=180 \implies x=30$ Thus, $x=30,y=75$
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