Answer
$x=5,y=2$
Work Step by Step
If $x^2-y^2=21$ then $(x-y)*(x+y)=21$
Dividing the equations by each other gives,
$x-y=3$
and the original equation is $y+x=7$
Adding the equations gives,
$2x=10 \ or \ x=5$
and Plugging that in yields $y=2$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 8 - Section 8.6 - Systems of Nonlinear Equations - 8.6 Assess Your Understanding - Page 615: 26
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