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The Solution of an Equation:

Any value of the variable which satisfies the equation is the solution of the equation.

There are two methods to solve an equation

1. By adding or subtracting the same number to both the sides of the equation as we
have above seen that the equation will remain the same.

Example: 1

x + 11 = 35

Solution:

Subtract 11 from both the sides.

x + 11 – 11 = 35 – 11

x = 24

Here, x = 24 is the solution of the given equation.

Example: 2

25y = 125

Solution:

Divide both the sides by 25.

ଶହ௬ = ଵଶହ
ଶହ ଶହ
y = 5 is the solution of the given equation

Transposing Method

In this method, we transpose the numbers from one side of the equation to the other
side so that all the terms with variable come on one side and all the constants come on
another side.

While transposing the numbers the sign of the terms will get changed. i.e. Negative will
become positive and positive will become negative.

Example