College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 447: 60

Answer

$18,6$.

Work Step by Step

Let $x,y$ be these numbers. Then we know that $x=2y+6,x+y=2(x-y)=2x-2y$. The second equation can be written as $x+y=2x-2y\\3y=x$. Thus, plugging this back into the first equation, we get: $2y+6=3y\\6=y$ Then $x=2y+6=2*6+6=18$.
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