Answer
$(4,6)$, $(6,4)$
Work Step by Step
We have $x+y=10$
and, $xy=24$
Now, $x(10-x)=24$
or, $x^2-10x+24=0$
Thus, we have $(x-4)(x-6)=0$
when $x=4$ then we have $y=6$
when $x=6$ then we have $y=4$
Hence, our answers are: $(4,6)$, $(6,4)$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 7 - Section 7.4 - Systems of Nonlinear Equations in Two Variables - Exercise Set - Page 851: 43
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