Algebra 1

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

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 15


$b = 5\frac{4}{7}$

Work Step by Step

We first combine like terms together to obtain the equation: $7b - 9 = 30$ We need to isolate the variable $b$, by adding $9$ on both sides of the equation as shown below: $7b - 9 + 9 = 30 + 9$ Simplifying we have: $7b = 39$ We now divide through by the coefficient of the variable as shown below: $\frac{7}{7}b = \frac{39}{7}$ Simplify to get: $b = 5\frac{4}{7}$ Therefore, the equation has a possible solution at the point $b = 5\frac{4}{7}$
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