Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises - Page 10: 35

Answer

There are infinite solutions.

Work Step by Step

Find a common factor between one of the variables x or y. Here, we can multiply 5 by 0.8 to make the x variable equal in both equations. 4x - 8y = 9 5(0.8x) - 5(1.6y) = 5(1.8) When multiplied, you get 4x - 8y = 9 4x - 8y = 9 Observe that both equations are now identical, which means any solution for one line will also be a solution for the other line.
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