Answer
$x=80,y=50$
Work Step by Step
As per the statement: $x+2y=180$ and $y+2x-30=180$
Plug $x=180-2y$ in the second equation, then we get
$y+2(180-2y)-30=180 \implies -3y=-150$
or, $y=50$
Now, $x+2(50)=180 \implies x=80$
Thus, $x=80,y=50$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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: 35
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