Question

Solve each equation. Check your solution.

$\frac{f}{-7}-8=2$

Short answer

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

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)

$\frac{f}{-7}\times \left(-7\right)=10\times \left(-7\right)$ (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.