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 2.2 - The Multiplication Property of Equality - Exercise Set - Page 131: 82


This statement is false. The true statement would be: If $3x + 7 = 0$, then $x = -\frac{7}{3}$.

Work Step by Step

This statement is false. If we solve this equation for $x$, we first subtract $7$ from both sides: $3x = -7$ We then divide each side by $3$: $x = -\frac{7}{3}$ The statement is false because the value for $x$ should be negative. The statement would be true if it read: If $3x + 7 = 0$, then $x = -\frac{7}{3}$.
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