Question

Solve each equation. Check your solution.

$\frac{n-2}{7}=2$

Short answer

The solution of the given equation is $n=16$.

Step-by-step solution

Step 1. Write the given equation.

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

Step 2. Solve the given equation.

Solving,

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

$\frac{n-2}{7}\times 7=2\times 7$ (Multiply both sides by 7)

$n-2=14$ (Simplify)

$n-2+2=14+2$ (Add 2 to both sides)

$n=16$ (Simplify)

So, $n=16$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=16$in the given equation $\frac{n-2}{7}=2$to get,

$\begin{array}{l}\frac{16-2}{7}=2\\ \frac{14}{7}=2\\ 2=2\end{array}$

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.