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Solve Equations with Two or More Variables

In this worksheet, students will be asked to solve equations with two or more variables.

'Solve Equations with Two or More Variables' worksheet

Key stage:  KS 2

Year:  Year 6 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Use Variables

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

Remember, a letter simply represents a number in algebra.

Sometimes this may be set but sometimes it is up to you to work out what the number is worth.


Where a number can change it is called a variable.

In this activity, all of the answers must be whole numbers or zero.



x + 3y = 8 


What do we know? That the total must be 8.

What is set and what can't be changed? The answer is set and that y needs to be multiplied by 3.

What are we in control of? Why are these variables? x and y are the variables because they could be several different numbers.


Through trial and error, we can find options:

The three different combinations can be shown in a bar model


2 2
5 1
8 0


Option 1: If x is 2, then 3y must be 6 so that they add up to 8. If 3y is 6, then y is 2.

Option 2: If x is 5, then 3y must be 3 so that they add up to 8. If 3y is 3, then y is 1.

Option 3: If x is 8, then y must be 0 so that they add up to 8.


Let's have a look at the questions now.

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