  # Equation with Two Variables: How Many Answers? (1)

In this worksheet, students must find how many integer solutions there are to a given equation with two variables. Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:   #### Worksheet Overview

In this worksheet, all the answers must be whole positive numbers or zero.

An equation with two variables involves two numbers which must be found.

Look at this equation:

a + b = 8

The two numbers, a and b, must add to 8.

They are whole positive numbers or zero.

What could they be?

If a is 0, b must be 8.

If a is 1, b must be 7.

If a is 2, b must be 6 etc....

The results can be shown in a table:

a   b
0 8
1 7
2 6
3 5
4 4
5 3
6 2
7 1
8 0

There are 9 solutions.

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