Pair of Linear Equations in Two Variables - Key Points
Linear Equation
An equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers and both a and b are nonzero is called a linear equation in two variables.
The solution of an Equation
Each solution (x, y) of a linear equation in two variables.
ax + by + c = 0, corresponds to a point on the line representing the equation, and vice-versa.
Pair of Linear Equations in Two Variables
The general form for a pair of linear equations in two variables x and y is
a₁x + b₁y + c₁ = 0
and a₂x + b₂y + c₂ = 0
Geometrically they look like the following: