 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q9.

Expert-verified Found in: Page 120 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Solve the equation. Check your solution. $12=\frac{\mathrm{f}}{2}-8$

The solution for the equation $12=\frac{f}{2}-8$ is $f=40$.

See the step by step solution

## Step 1 – Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}12=\frac{f}{2}-8\\ 12+8=\frac{f}{2}\\ 20=\frac{f}{2}\end{array}$

## Step 2 – Solve for f

Multiply both sides of the equation $20=\frac{f}{2}$ by 2 and simplify.

$\begin{array}{l}20×2=\frac{f}{2}×2\\ f=40\end{array}$

Therefore, the solution of the equation is $f=40$.

## Step 3 – Check the solution

To check the solution, write the original equation and substitute the value of $f$.

localid="1649207493077" $12=\frac{f}{2}-8$

Now, substitute $f=40$ and check the result.

$12=\frac{40}{2}-8\phantom{\rule{0ex}{0ex}}12=20-8\phantom{\rule{0ex}{0ex}}12=12$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

$\begin{array}{l}12=\frac{40}{2}-8\\ 12=20-8\\ 12=12\end{array}$ ### Want to see more solutions like these? 