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: 16

Answer

(-0.75, 1.25)

Work Step by Step

Write the first equation as a solution for x: 0.08x - 0.04y = -0.11 0.08x = 0.04y - 0.11 x = 0.5y - 1.375 Insert the equation for x in terms of y in the second equation: 0.02(0.5y - 1.375) - 0.06y = -0.09 0.01y - 0.0275 - 0.06y = -0.09 -0.05y = -0.0625 y = 1.25 Let y = 1.25 in the first equation to find x: 0.08x - 0.04(1.25) = -0.11 0.08x - 0.05 = -0.11 0.08x = -0.06 x = -0.75 Check the solution (-0.75, 1.25) in the second equation: 0.02(-0.75) - 0.06(1.25) = -0.09 -0.09 = -0.09; True
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