College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.4 - Page 559: 12

Answer

(3, -5) or (-1,3)

Work Step by Step

2x + y = 1 can be written as y = 1 - 2x. Plug this into $x^{2} + y = 4$ $x^{2} + 1 - 2x = 4$ $x^{2} - 2x - 3 = 0$ (x - 3)(x + 1) = 0 x - 3 = 0 or x + 1 = 0 x = 3 or -1 Plug x-values into y = 1 - 2x y = 1 - 2(3) = -5 y = 1 - 2(-1) = 3 (3, -5) or (-1,3)
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