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: 54



Work Step by Step

Our constraints are: $x,y\geq0$. Then if we add three times the first and twice the second equation we get: $19\sqrt x=38\sqrt2\\\sqrt x=2\sqrt x\\x=8$ Plugging this into the first equation we get: $5\sqrt8-2\sqrt y=4\sqrt2\\10\sqrt2-2\sqrt y=4\sqrt2\\-2\sqrt y=-6\sqrt2\\\sqrt y=3\sqrt2\\y=18$
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