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Answers without the blur. Sign up and see all textbooks for free! Q16.

Expert-verified Found in: Page 94 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # 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 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)

$\frac{f}{-7}×\left(-7\right)=10×\left(-7\right)$ (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. ### Want to see more solutions like these? 