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Pythagoras' theorem is used to calculate the lengths of the sides of a right angled triangle. 

The theorem is as follows : a² = b² + c², where a is the len...

the basic idea is to get everything with the unknown (let's assume this is x) on one side of the equals and everything else on the other side. To do this we use the 'inverse idea' to move our items onto d...

6x + 2y = 2 and 12x -3y =18 

Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x

12x + 4y = 4 and 12x - 3y = 18

Rearrange both...

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available...

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusin...