Theory:

Algebra is a branch of mathematics which deals with variables.

In this chapter, let us learn about the concept of linear relationships. This linear relationships can be expressed by table, graph and equations.

What is a linear equation in one variable?

Generally, a pair of expressions separated by an equal to sign is called as equation. This equal to sign indicates that the pair of expressions are equal.

Likewise, a linear equation in one variable is an equation in which only one unknown variable($$x$$, $$y$$, $$z$$, $$a$$, $$b$$, …) is involved.

A linear equation has only one variable and can be written in the form of $$ax+b = 0$$ where $$a$$, $$b$$ are real numbers, and $$a \neq 0$$ is called a linear equation in one variable.
The equation in which only one variable involved is called as a linear equation in one variable.
Example:
$$x-2 = 0$$, $$4y-3 = 0$$, $$a = -1$$, $$3b+1= b-1$$
These equations are called as linear equations or first-order equations.