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Q16.

Expert-verified

Algebra 1

Found in: Page 94

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Solve each equation. Check your solution.
$\frac{f}{- 7} - 8 = 2$

The solution of the given equation is $f = - 70$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write the given equation.

The given equation is “ $\frac{f}{- 7} - 8 = 2$ ”.

Step 2. Solve the given equation.

Solving,

$\frac{f}{- 7} - 8 = 2$ (Given equation)

$\frac{f}{- 7} - 8 + 8 = 2 + 8$ (Add 8 to both sides)

$\frac{f}{- 7} = 10$ (Simplify)

$\frac{f}{- 7} \times (- 7) = 10 \times (- 7)$ (Multiply both sides by $- 7$ )

$f = - 70$ (Simplify)

So, $f = - 70$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $f = - 70$ in the given equation $\frac{f}{- 7} - 8 = 2$ to get,

$\begin{array}{l} \frac{- 70}{- 7} - 8 = 2 \\ 10 - 8 = 2 \\ 2 = 2 \end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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