College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 447: 42

Answer

Infinite number of solutions

Work Step by Step

Multiply the first equation by 2 50x - 150y = 200 Multiply the second equation by 5 -50x + 150y = -200 Add both equations together 50x - 150y = 200 -50x + 150y = -200 0 = 0 This means that both equations represent the same line. All their points intersect with one another. Therefore the system has an infinite number of solutions.
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