Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.8 - Systems of Nonlinear Equations - 10.8 Exercises - Page 754: 2

Answer

Both solutions are verified (-2, 2) (4, 8)

Work Step by Step

Given the system of equations: $2y - x^2 = 0$ $y - x = 4$ For this question, it asks to check the solutions of the system. From question 1, the solutions determined are (-2, 2) and (4, 8) Substitute the respective values into each equation. (-2, 2) $2(2) - (-2)^2 = 0$ True $2 - (-2) = 4$ True (4, 8) $2(8) - (4)^2 = 0$ True $8 - 4 = 4$ True Thus both solutions are verified.
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