Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 13 - Section 13.3 - Solving Nonlinear Systems of Equations - Exercise Set - Page 948: 5

Answer

y=-2, x=0 y=0, x=4

Work Step by Step

1. Rearrange for x x-2y=4 x=4+2y 2. Substitute x y^{2}= 4-x y^{2}= 4- (4+2y) y^{2}= 4-4-2y y^{2}= -2y 3. Rearrange and equal to 0. Solve for y y^{2}+2y=0 (y+2) (y)= 0 y=-2 , y=0 4. Solve for x When y=-2 x-2(-2)=4 x+4=4 x= 4-4 x=0 When y=0 x-2(0)=4 x-0=4 x=4
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