Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 2 - Systems of Linear Equations and Inequalities - 2.1 Systems of Linear Equations - 2.1 Exercises - Page 143: 44

Answer

See sample answer below.

Work Step by Step

The two equations should repressent one and the same line. Take the line $y=x$ and rewrite its equation as $x-y=0$ For the second equation, multiply the above equation by 2. $2x-2y=0$ This equation represents the same line. Thus, the system $\left\{\begin{array}{l} x-y=0\\ 2x-2y=0 \end{array}\right.$ has infinitely many solutions. It is a dependent system (a consistent system with dependent lines)
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.