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 818: 38

Answer

The system has infinitely many solutions.

Work Step by Step

We have to use the elimination method to solve provided system of equations. Multiply equation (II) by 2 and subtract from equation (I), $\begin{align} & \left( 4x-2y \right)-\left( 4x-2y \right)=2-2 \\ & 0=0 \end{align}$ So, according to equation (III), $0=0$ indicates that the system has infinitely many solutions.
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