Question

Solve each equation. Check your solution.

$\frac{2}{3}n=14$

Short answer

The required solution is $n=21$.

Step-by-step solution

Step 1. Write the given information.

The given equation is:$\frac{2}{3}n=14$

Step 2. Calculation.

Consider the given equation,

$\begin{array}{l}\frac{2}{3}n=14\\ n=14\times \frac{3}{2}\\ n=21\end{array}$

Step 3. Checking solution.

Substitute $n=21$in the given equation, we get

$\begin{array}{l}\frac{2}{3}n=14\\ \frac{2}{3}\left(21\right)=14\\ 14=14\end{array}$

Hence, proved.