Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Practice: 2

Answer

(-1, 4)

Work Step by Step

1. Multiply the second equation by 2: 2(-x + 4y) = 2(17) -2x + 8y = 34 2. Add the first equation to the new second equation: 2x - y = -6 -2x + 8y = 34 7y = 28 y = 4 3. Let y = 4 in the first equation to solve for x: 2x - 4 = -6 2x = -2 x = -1 4. Check the solution (-1, 4) in the second equation: -(-1) + 4(4) = 17 1 + 16 = 17 17 = 17; True The solution is (-1, 4)
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