Try Now for FREE
- 1. Select your country from the
dropdown. - 2. Mobile : Enter just the mobile no. without any codes
- 3. Landline : Enter the
STD code followed by the phone no. Example 040-66979999.
CBSE - X
Graphical Method of Solution
In everyday life, you will find many things that share a one-to-one relationship with each other, for example the quantity and cost of things, the age and the height, the altitude and the temperature. Such relationships are linear in nature and can be expressed mathematically as a pair of linear equations in two variables.
The general form of a pair of linear equations in two variables x and y as
,Where 
are all real numbers , 
We know that a linear equation in two variables when plotted on a graph defines a line. So, this means when a pair of linear equations is plotted, two lines are defined. Now, we know that two lines in a plane can intersect each other, be parallel to each other, or coincide with each other. The points where the two lines intersect are called the solutions of the pair of linear equations.
Condition 1: Intersecting Lines
If 
then the pair of linear equations 
has a unique solution.
Condition 2: Coincident Lines
If 
then the pair of linear equations 
has infinite solutions.
A pair of linear equations, which has a unique or infinite solutions are said to be a consistent pair of linear equations.
Condition 3: Parallel Lines
If 
then a pair of linear equations 
has no solution.
A pair of linear equations which has no solution is said to be an inconsistent pair of linear equations.
