Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 823: 103


It does not make sense.

Work Step by Step

We know that in a linear system of equations, each system has only one real solution. Let us take an example: $\begin{align} & {{a}_{1}}x+{{b}_{1}}y={{c}_{1}} \\ & {{a}_{2}}x+{{b}_{2}}y={{c}_{2}} \\ \end{align}$ Are two linear equations, representing two lines. If ${{a}_{1}}\ne {{a}_{2}}$ and ${{b}_{1}}\ne {{b}_{2}}$ then these two lines intersect and the point of intersection in a solution. And if ${{a}_{1}}\ne {{a}_{2}}$ and ${{b}_{1}}\ne {{b}_{2}}$ then the two lines are parallel to each other and intersect nowhere. So, a linear system cannot have infinite solutions. Thus, the provided statement does not make sense.
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.