Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.3 - Solving Linear Equations - Exercise Set - Page 143: 103

Answer

This statement is false. To make it true, you add a negative sign to the $5$ on the right-hand side of the equation to get the following statement: The equation $2y + 5 = 0$ is equivalent to $2y = -5$.

Work Step by Step

The statement if false because the first step to solving the equation would be to subtract $5$ on both sides. If we do this, we would get the following equation: $$2y = -5$$ The $5$ on the right-hand side of the equation would be negative, not positive. To make the equation a true statement, you would just add a negative sign to the $5$ to get the following statement: The equation $2y + 5 = 0$ is equivalent to $2y = -5$.
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