Linear Equation in One Variable

Linear equation is an equation in which the degree of the polynomial is one, i.e. the highest power of the variable is one and a linear equation in one variable is a linear equation with only one variable.

We can take any variable such as x, y, a, b, etc. Some examples of linear equations in one variable are,

• 2a + 3a = 20
• 5x + x = 12, etc.

The above equations are linear in one variable as they only have one variable and the highest degree of the variable is 1.

Linear Equations in One Variable Definition

A linear equation in one variable is a mathematical statement that involves a first-degree polynomial where there is only one variable involved, and it can be expressed in the form: ax + b = c

Graph of Linear Equation in One Variable

These linear equations can be easily represented on the graphs and they represent the straight line which can be horizontal to the coordinate axis or vertical to the coordinate axis.

We represent the mathematical condition using these equations as the condition “a number which is 5 less than twice of itself” is represented by the linear equation,

x = 2x – 5

Where x is the unknown number.

In the above equation there is only one variable (x) and the degree of the variable is one thus, it is a linear equation in one variable.

Linear equation in one variable is the equation that is used in algebra for finding unknown quantities. It is used for representing the conditions that are dependent on one variable. It is a linear equation i.e. the equation in which the degree of the equation is one, and it only has one variable.

Let’s know more about Linear Equations in one Variable in detail below.