Question

Solve each equation. Check your solution.

$\frac{c+1}{-3}=-21$

Short answer

The solution of the given equation $c=62$.

Step-by-step solution

Step 1. Remove the denominator.

$\begin{array}{l}\frac{c+1}{-3}=-21\\ c+1=-21\times -3\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}c+1=63\\ c=63-1\\ c=62\end{array}$

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

$\begin{array}{l}\frac{c+1}{-3}=-21\\ \frac{62+1}{-3}=-21\\ \frac{63}{-3}=-21\\ -21=-21\end{array}$