HSC Together > Year11 > Linear Equations

# Linear Equations

### 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 get the pro numeral by itself on one side of the equation. In Prelim Standard Math, the steps to solving linear equations are below:

1. Look to perform the opposite operation to get the pronumeral by itself on one side (+ is opposite to -, x is opposite to +)
2. Add or subtract the same number to both sides of the equation
3. Multiply or divide both sides of the equation by the same number
4. 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 linear equations

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 pro numerals on both sides of the equation.

### How to solve complex linear equations

For those of you looking for a challenge, these videos explain how to solve more complex linear equations that could be asked in prelim standard maths.