Precalculus (6th Edition) Blitzer

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

Chapter 7 - Section 7.4 - Systems of Nonlinear Equations in Two Variables - Exercise Set - Page 852: 75

Answer

The provided statement is false.

Work Step by Step

The provided statement is false. We know that the graph of two circles can meet at a single point or zero points. The systems of two equations in two variables whose graphs are two circles that do not intersect results in no solutions. Alternatively, the graphs of circles intersect at a single point and therefore there is a single solution possible.
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