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

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: 2



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 the same line, so the coordinates of all the points on that line will satisfy both equations, meaning that each point on the line represents a solution of the system.) A line has infinitely many points... The statement is true.
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