Checking for Solutions of Equation

Suppose, you want to check the mileage of your new car.

So, you filled liters of petrol in your car.

You travel km by your car and the fuel gets completely exhausted.

This situation can be presented as

This equation is a condition on the variable

If we can calculate value of variable , we get the mileage of the car

Hence, we need to find out the solution of the equation.

Let’s try to find out the solution of an equation.

First, we write the equation as such

The value of the variable which satisfies the equation is called as the solution to the equation.

So, we start to put the values of variable as

But, no value of variable satisfies the equation

When, we put the value of variable as , it satisfies the equation

Hence, is the solution to the equation

Here, this method is called as trial method to find out the solution of the equation.

Because, we get the solution in five consecutive trials as .

Now, let us learn the practical method of solution to the equation.

Let’s see the practical method of solution to the equation.

We know that the sign of equality always occurs in the equation.

Hence, we can perform same arithmetic operation to both the sides as as well as .

We have the equation

So, we divide both the sides by to free the variable in .

On further simplification, we get the value of variable as

Thus, we conclude that the value of the variable which satisfies the equation is called as the solution to the equation.

Revision

The value of the variable in the equation which satisfies the equation is called as the solution to the equation.

The solution to the equation can be found out by using trial method or practical method.

The End