Question

Solve each equation. Check your solution.

$\frac{n+1}{-2}=15$

Short answer

The solution of the given equation $n=-31$.

Step-by-step solution

Step 1. Remove the denominator.

$\begin{array}{l}\frac{n+1}{-2}=15\\ n+1=15\times (-2)\end{array}$

Step 2. Solve for n.

$\begin{array}{l}n+1=-30\\ n=-30-1\\ n=-31\end{array}$

Step 3. Check the solution by putting the value of n into the given equation.

$\begin{array}{l}\frac{n+1}{-2}=15\\ \frac{(-31)+1}{-2}=15\\ \frac{-30}{-2}=15\\ 15=15\end{array}$

Hence, proved.