Q19. - Algebra 1

Question

Solve each equation. Check your solution.

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

Step-by-Step Solution

Answer

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

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.