Q43. - Algebra 1

Question

Solve each equation. Check your solution.

$3.7q+26.2=111.67$

Step-by-Step Solution

Answer

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

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.