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 5.4 - Systems of Nonlinear Equations - 5.4 Exercises - Page 466: 30

Answer

$(\pm2,1)$

Work Step by Step

Adding $-3$ times the first equation to the second one, we get: $2y^3=2\\y^3=1\\y=1$ Plugging this back into the first equation, we get: $x^4+1^3=17\\x^4=16\\x=\pm2$ Hence, the solutions are: $(\pm2,1)$
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