This document introduces linear equations in two variables. It defines a linear equation in two variables as an equation of the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not both zero. It states that every solution to a linear equation in two variables is a point on the line representing the equation. The document also defines the general form for a pair of linear equations in two variables as a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, where a1, b1, c1, a2, b2, c2 are real numbers and a12 + b12 ≠ 0,

1. MATHS TEACHER

2. LINEAR
EQUATIONS IN
TWO VARIABLES
Get started General form
Example
MIND MAP
MATHS TEACHER

3. INTRODUCTION

4. INTRODUCTION
Introduction:
Linear equation in two variable: An equation in the form ax + by + c = 0,
where a, b and c are real numbers, and a and b are not both zero (a2 + b2 ≠ 0),
is called a linear equation in two variables x and y.
Solution of a linear equation in two variables: Every solution of the
equation is a point on the line representing it.
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.
General form of 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,
Where a1, b1, c1, a2, b2, c2 are all real numbers and a1
2 + b1
2 ≠ 0, a2
2 + b2
2 ≠ 0.
Geometrical representation of pair of linear equations in two variables
The geometrical representation of a linear equation in two variables is a straight
line.

5. EXAMPLE
GENERAL FORM EXAMPLE