Introduction to linear equation in two variable — lesson. Mathematics State Board, Class 9.

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What is a linear equation in two variable?

A linear equation in which two variables are involved in which each variable is in the first degree.

It can be written in the form of

$ax+by+c = 0$ where

$a$ ,

$b$ and

$c$ are real numbers, both

$a$ and

$b$ are not equal to zero,

$x$ and

$y$ are variables and

$c$ is a constant.

The equation in which two variables involved, each of which is in the first degree. These variables are arranged so that they are not multiplied by each other is called a linear equation in two variables.

Example:

$x+y = 2$ ,

$x+2y = 6$ ,

$3x = 9y$ ,

$-2y+\frac{1}{4} = 4x$

These equations are called as linear equations in two variables.

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1. Introduction to linear equation in two variable

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