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 - Exercise Set: 57

Answer

(-8.9, 10.6)

Work Step by Step

Multiply both sides of the first equation by 4 and the second equation by 3: 4(2x + 3y) = 4(14) 3(3x - 4y) = 3(-69.1) 8x + 12y = 56 9x - 12y = -207.3 Add: 17x = -151.3 x = -8.9 Let x = -8.9 in the first equation to find y: 2(-8.9) + 3y = 14 -17.8 + 3y = 14 3y = 31.8 y = 10.6 Check the solution (-8.9, 31.8) in the second equation: 3(-8.9) - 4(10.6) = -69.1 -69.1 = -69.1; True
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