Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.3 Terminology for Systems of Linear Equations - Problems - Page 144: 5

Answer

The system has an infinite number of solutions

Work Step by Step

On the xy plane, the red color line represents $3x − 4y = 12$ and the blue color line represents $6x − 8y = 24$. The two lines are overlap so every pointon the line is a solution to the linear system. Hence, the system has an infinite number of solutions
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