## Did you know?

We also have Bitesize study guides covering many subjects at National 4 and National 5 on our Knowledge & Learning BETA website.

Home > Maths I > Relationships > Simple equations and inequalities

Maths I

Simple equations and inequalities

Back

# Solving equations

## Introduction

Problems are often answered in mathematics by solving equations.

To solve them, we need to find what number the letter in the equation represents. That number is called the solution of the equation.

There are usually several ways to solve an equation. If the method you choose to use always gives you the correct answer, then keep using this method!

To get some practise at solving equations, try to follow the worked examples below.

## Example 1

Solve .

This is the simplest type of equation to solve.

What number added to equals ?

Therefore, is the solution.

## Example 2

Solve .

This is very similar to Example 1.

What number minus equals ?

Therefore, is the solution.

## Example 3

Solve .

This is a different type of equation from the first two.

times a number represented by is equal to .

To find , divide both sides by .

So, is the solution.

## Example 4

Solve .

This equation is like Example 1 and Example 3 combined.

What number added to equals ?

Therefore, , i.e.

times equals .

To find , divide both sides by :

.

The solution is .

## Example 5

Solve .

.

Re-order the equation:

,

.

Subtract from each side:

.

To find x, divide both sides by 2.

Therefore, is the solution.

### Now, try to solve these equations.

Question

Solve

(because )

Question

Solve

(because )

Question

Solve

Question

Solve

(because )

Question

Solve

(because , )

Well done if you got the right answers! If you didn't, check through the answers again.

Back

BBC iD