Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

Published by Pearson

ISBN 10: 0-32184-874-8

ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 507: 4

Answer

True

Work Step by Step

Refer to the Algebraic - Graphical Connection just before the exercise set. $\begin{aligned}3y-2x&=6\\-12y+8x&=-24\end{aligned}$ is an example of a system with infinitely many solutions (the equations represent one and the same line - the graphs of these equations coincide) which means that the statement is true.

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