Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.1 - Graphs and Graphing Utilities - Exercise Set: 74

Answer

The given statement is false. A corrected statement is: "The ordered pair $(5, 2)$ satisfies $3y-2x=-4$."

Work Step by Step

The ordered pair $(2, 5)$ has x = 2 and y = 5. Substitute these values into the given equation to obtain: $3y-2x=-4 \\3(5) - 2(2) = -4 \\15-4 = -4 \\11=-4$ This is a false statement. Thus, the given statement is false. Note, however that for the point (5, 2) where x = 5 and y = 2: $3y-2x=-4 \\3(2) -2(5)=-4 \\6-10=-4 \\-4=-4$ The ordered pair $(5, 2)$ satisfies the equation. Therefore, a corrected statement is: The ordered pair $(5, 2)$ satisfies $3y-2x=-4$.
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