Linear equation in two variables: It is the equation with two variables and with highest
power of variable or Degree .
Solution of Linear equation in two variables: The values of and which satisfy the given
equation is called solution of the equation in two variables.
e.g. 2x +3y+4=0 has solution x=1 and y =-2.
X= -5 , Y= 2 is also solution of the equation.
Pair of linear equations in 2 variables:
It contains two linear equations in same two variables
Geometric meaning of Pair of linear equations in variables:
When two lines intersect at a single point.
When two lines coincide with each other
When two lines are parallel.
Algebraic method to solve pair of linear equations in variables:
equation i.e. in
Cross multiplication method:
Arrange the coefficients as shown:
And we can write
Equations reducible to a pair linear equation in two variables:
This is pair of linear equations in variables and .
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