Question

Solve each equation. Check your solution.

$3.7q+26.2=111.67$

Short answer

The solution of the given equation is $q=23.1$.

Step-by-step solution

Step 1. Write the given equation.

The given equation is “$3.7q+26.2=111.67$”.

Step 2. Solve the given equation.

Solving,

$3.7q+26.2=111.67$ (Given equation)

$3.7q+26.2-26.2=111.67-26.2$ (Subtract 26.2 from both sides)

$3.7q=85.47$ (Simplify)

$\frac{3.7q}{3.7}=\frac{85.47}{3.7}$ (Divide both sides by 3.7)

$q=23.1$ (Simplify)

So, $q=23.1$is the solution of the given equation.

Step 3. Check the obtained solution.

Put $q=23.1$in the given equation $3.7q+26.2=111.67$to get,

$\begin{array}{l}3.7\left(23.1\right)+26.2=111.67\\ 85.47+26.2=111.67\\ 111.67=111.67\end{array}$

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.