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    Pairs of Linear Equations in Two Variables - Class X
Formulae, Relations, Identities etc.
Linear equations in two variables
Definition 
An equation of the form ax + by + c = 0 where a,b are not both equal to zero.

Solution of linear equation in 2 variables  
It is a pair of values one each for x and y which makes the two sides of equation equal.

Graph of a linear equation in 2 variables 
It is always a straight line.

Geometric meaning of solution of linear equation in 2 variables 
Every solution of the equation is a point on the line representing it and every point on the graph of a linear equation in two variables is its solution.
                          Pairs of Linear Equations in Two Variables
methods of solving a pair of linear equations in 2 variables 
1. Graphical Method
2. Algebraic Methods

Algebriac methods of solving a pair of linear equations in 2 variables 
1. Substitution Method
2. Elimination by equating the coefficients
3. Cross Multiplication
Demo: Explicit load of a +1 button