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: 12

Answer

$b = 7$

Work Step by Step

We begin by combining like terms together to obtain the equation: $13 = 3b - 8$ We now need to isolate the variable $b$ by adding $8$ to both sides as shown below: $13 + 8 = 3b - 8 + 8$ Simplifying, we have: $21 = 3b$ We now divide through by the coefficient of the variable as shown below: $\frac{21}{3} = \frac{3}{3}b$ Simplifying we have: $7 = b$ Rearranging it, we have: $b = 7$ This shows that the equation has a possible solution at the point $b = 7$
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