What are Linear Equations?
An equation is a mathematical statement that says that two things are equal. The goal of linear equation problems is to move the pronumeral to one side of the equation, so that it is by itself without other numbers. In VCE Maths Methods, the steps to solving linear equations are below:
- Look to perform the opposite operation to get the pronumeral by itself on one side (+ is opposite to -, x is opposite to +).
- Add or subtract the same number to both sides of the equation.
- Multiply or divide both sides of the equation by the same number.
- To solve two-step or three-step equations, repeat the steps 1 to 3 as required. It is often easier to first add or subtract the same number to both sides of the equation.
The Four Steps of Literal Equations
This video will explain literal equations step-by-step.
The video below explains the four steps above in greater detail.
How to Solve 2 Step and 3 Step Equations
The following videos explain how to solve 2-Step and 3-Step equations.
How to Solve Equations with Pronumerals on Both Sides
The following video explains how to solve equations with pronumerals on both sides of the equation.
How to Solve Complex Literal Equations
For those of you looking for a challenge, these videos explain how to solve more complex linear equations.
Want to learn more? Check out more of our VCE Mathematics resources here!