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

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:

There are 9 solutions.