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: 24


The given system has infinite solutions.

Work Step by Step

$\frac{2x}{3} + \frac{y}{6} = \frac{2}{3}$ $4x + y = 4$ Multiply the first equation with 6: $\frac{2x}{3}*6 + \frac{y}{6}*6 = \frac{2}{3}*6$ $4x + y = 4$ From this we see that the two equations are the same. As such, their graphs overlay each other, having infinite intersection points, which means that the system has infinite solutions.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.