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: 25

Answer

$\frac{52}{7}$ or 7.42857143

Work Step by Step

Given the equation: $7(f - 1) = 45$ We start by opening up the brackets as shown below: $7f - 7 = 45$ Isolate the variable $f$ by adding $7$ to both sides of the equation as shown below: $7f - 7 + 7 = 45 + 7$ Simplify to get: $7f = 52$ Divide through by the coefficient of the variable $f$ as shown below: $\frac{7}{7}f = \frac{52}{7}$ $f = 7\frac{3}{7}$ Therefore, the equation has a possible solution at the point $f = 7\frac{3}{7}$
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