E-Lecture - Linear Equations in one Variable

Definition

An equation in one variable, say x, that can be written in the form

ab + b = 0,

Where a and b are specified numbers such that a ≠ 0, is called linear equation.
That is, the power of the variable is exactly 1.

Example

Example

There are various equations that are not exactly in the form of the definition of linear equation, ax + b = c, but may be transformed to this form using the basic rules of equation as illustrated by the following example.