Question

Solve each equation. Check your solution.

$-3=2+\frac{a}{11}$

Short answer

The solution of the given equation $a=-55$.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}-3=2+\frac{a}{11}\\ \frac{a}{11}=-3-2\end{array}$

Step 2. Solve for the variable.

$\begin{array}{l}\frac{a}{11}=-5\\ a=-55\end{array}$

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

$\begin{array}{l}-3=2+\frac{a}{11}\\ -3=2+\frac{-55}{11}\\ -3=2+(-5)\\ -3=2-5\\ -3=-3\end{array}$

Hence proved.