Linear equation definition explained

Learn and know what is the linear equation definition. Basically, in class 7 or 8 we will learn about linear equations. One total chapter will on linear equations only. It is very important that to understand this concept you should know what is the degree and how to find it.

Linear equation definition explained

When we talk about linear equations, we have linear equations in one variable and linear equations in two variables. These both equations meaning (definition), general form and examples we will learn now.

Linear equation definition:

The definition of linear equation is given as “Any equation whose degree is “1” is called as a linear equation”.

Example:

3x + 5 = 0, 5y – 1 = 3 and 12x = 7

In the all these equations the degree is 1, so we call these equations as linear equations.

The General form of the linear equation in one variable as follows:

Any Linear equation in one variable will be always in the form ax + b = 0 where “a” is not equal to zero i.e. a ≠ 0. We can also say that if the linear equation contains one variable then it is called as the linear equation in one variable. If a = 0 then it is not a linear equation in one variable.

Example:

7x + 13 = 0 and 2x – 51 = 9 are linear equations in one variable.

Note:

We know that general form of a linear equation in one variable is written in the form of ax + b = 0. In the place of “x” we can also write “y” also i.e. ay + b = 0 is also a linear equation in one variable.

The General form of the linear equation in two variables as follows:

Any linear equation in two variables will be always in the form of ax + by + c = 0, where “a” and “b” are not equal to zero. We can also say that if the linear equation contains two variables then it is called as the linear equation in two variables.

Example:

5x + 7y + 9 = 0 and 11x – 6y – 10 = 0 are linear equations in two variables.

Hope that you have understood linear equation definition and also definitions of linear equation in one variable and linear equation in two variables.

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