Linear Equations in One Variable

What is a linear equation in one variable?<br.

A linear equation in one variable is an equation that can be written in the form \(ax + b = c\), where \(a\), \(b\), and \(c\) are constants, and \(a \neq 0\). The variable (\(x\) in this general form) appears only to the first power.

These equations have one solution, no solution, or infinitely many solutions.

In this lesson, we will look at linear equations with one solution.
Check out this other lesson for linear equations with no solution or infinitely many solutions

The following diagram gives example of solving linear equations in one variable. Scroll down the page for more examples and solutions of solving linear equations.

Algebra Worksheets
Practice your skills with the following Algebra worksheets:
Printable & Online Algebra Worksheets

Solving Linear Equations in One Variable
This video will review how to solve a linear equation in one variable, which is also known as a first-degree equation. In order to solve a linear equation in one variable, we will follow a simple four-step procedure:

1. Simplify each side separately
   
2. Move all variable terms to one side, and all constants to the other
   
3. Isolate the variable
   
4. Check the result using substitution
   

• Show Step-by-step Solutions

Algebra - Linear Equations in One Variable
Equations and Inequalities in One Variable - Linear Equations in One Variable.

• Show Step-by-step Solutions

Solving Linear Equations (1 Variable)
Solving linear equations with one variable

• Show Step-by-step Solutions

Solving an Equation for One Variable
This video describes the solution to a single-variable problem that involves negative numbers and decimal values.

• Show Step-by-step Solutions

Solving Linear Equations
Example of how to solve linear equations.

• Show Step-by-step Solutions

Check out our most popular games!

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.