Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-1 Solving One-Step Equations - Practice and Problem-Solving Exercises - Page 85: 33

Answer

$r = -\frac{1}{2}$

Work Step by Step

$7r = -\frac{7}{2}$ We start by isolating the variable $r$ by dividing through by $7$. In division operations involving fractions, we usually multiply the divided by the reciprocal of the divisor. In this case, the dividend is $-\frac{7}{2}$ and the divisor is $7$. The reciprocal of $7$ is $\frac{1}{7}$. Therefore, the operation becomes: $7r \times \frac{1}{7} = -\frac{7}{2} \times \frac{1}{7}$ Simplifying, we have: $r = -\frac{1}{2}$ Therefore, the equation has a possible solution at $r = -\frac{1}{2}$
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