This activity includes different questions that have equations with two unknowns.

The two letters in each equation stand for two numbers. Note: these numbers could be different or the same.

__Example__

**3x - 2y = 2**

Which of the **solutions** satisfy the equation?

x = 2 y = 2

x = 8 y = 4

x = 4 y = 5

x = 10 y = 2

As you have been given options, put each pair into the equation to see if it can give the equation

**3x - 2y = 2**

**Remember to carry out any calculation in brackets first.**

x = 2 y = 2 ** **

**fits** because (3 x 2) - (2 x 2) = 6 - 4 = 2

x = 8 y = 4

does not fit because

(3 x 8) - (2 x 4) = 24 - 8 = 16

x = 4 y = 5

**fits **because (3 x 4) - (2 x 5) = 12 - 10 = 2

x = 10 y = 2

does not fit because

(3 x 10) - (2 x 2) = 30 - 4 = 26

Remember to use a sensible process of **trial and error **when solving equations with two unknowns.

Let's start the questions now.