Question

Use a calculator to solve the equation. Check your solution.

0.75m + 14 = 1.87m – 10.3936

Short answer

The solution for the equation is $m=21.78$

Step-by-step solution

Step-1 – Given

The given equation is $0.75m+14=1.87m-10.3936$.

Step-2 – To determine

We have to solve the equation using a calculator

Step-3 – Calculation

We first make one side equal to 0.

$\begin{array}{l}0.75m+14=1.87m-10.3936\\ 0.75m+14-14=1.87m-10.3936-14\text{[Subtract14fromeachsides]}\\ 0.75m=1.87m-24.3936\text{[Simplify]}\\ 0.75m-0.75m=1.87m-24.3936-0.75m\text{[Subtract0.75}m\text{fromeachsides]}\\ 1.12m-24.3936=0\text{[Simplify]}\end{array}$

Then we add 24.3936 to both sides

So, we get: $1.12m=24.3936$

Then divide both sides by 1.12

$\begin{array}{l}\frac{1.12m}{1.12}=\frac{24.3936}{1.12}\\ m=21.78\end{array}$

So the solution of the equation is $m=21.78$