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 2.4 - Formulas and Percents - Exercise Set - Page 154: 79

Answer

We see that the equation is false because there is a negative sign missing. In order to make the statement true, we add a negative sign to create the following statement: If $ax + b = 0$, then $x = -\frac{b}{a}$.

Work Step by Step

If we want to solve for $x$, then we want to isolate $x$. We first subtract $b$ from both sides: $$ax = -b$$ We then divide each side by $a$ to get $x$ by itself: $$x = -\frac{b}{a}$$ We see that the equation is false because there is a negative sign missing. In order to make the statement true, we add a negative sign to create the following statement: If $ax + b = 0$, then $x = -\frac{b}{a}$.
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