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SAI International School

CLASS-VI
Mathematics
CHAPTER-11: Algebra

Lesson Notes-3

SUBTOPIC: Equation, Solution of an Equation, Trial and Error Method

Equation
If we use the equal sign between two expressions then they form an equation.

An equation satisfies only for a particular value of the variable.

The equal sign says that the LHS is equal to the RHS and the value of a variable which
makes them equal is the only solution of that equation.

Example
3 + 2x = 13

5m – 7 = 3
p/6 = 18

If there is the greater then or less than sign instead of the equal sign then that statement
is not an equation.
Some examples which are not an equation
23 + 6x > 8

6f – 3 < 24

The Solution of an Equation
The value of the variable which satisfies the equation is the solution to that equation. To
check whether the particular value is the solution or not, we have to check that the LHS
must be equal to the RHS with that value of the variable.
Trial and Error Method
To find the solution of the equation, we use the trial and error method.

Substituting different values of the variable and checking the equality of LHS and RHS
is the trial and error method.

 For a given equation we start to substitute different values of the given variable
till both the sides are balanced is the required solution.
 We can take the value of the variable starting from 0.