Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Section 4.3 - Integrated Review - Summary on Solving Systems of Equations - Page 311: 5

Answer

(-3, 2)

Work Step by Step

Solve for x in terms of y in one of the equations: x + 2y = 1 x = 1 - 2y Insert the equation for x in terms of y in the second equation: 3(1 - 2y) + 4y = -1 3 - 6y + 4y = -1 3 - 2y = -1 4 = 2y 2 = y Let y = 2 in the first equation to solve for x: x + 2(2) = 1 x = -3 Check the solution (-3, 2) in the second equation: 3(-3) + 4(2) = -1 -9 + 8 = -1 -1 = -1; True
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