Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.6 Solve Radical Equations - 6.6 Exercises - Skill Practice - Page 457: 53



Work Step by Step

Our constraints are: $x,y\geq0$. Then if we add the first and second equations we get: $8\sqrt x=16\\\sqrt x=2\\x=4$ Plugging this into the first equation we get: $3\sqrt4+5\sqrt y=31\\3\cdot2+5\sqrt y=31\\5\sqrt y=25\\\sqrt y=5\\y=25$
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