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Defintions

Rationalising the denominator means rewriting a fraction so that the bottom only contains rational numbers.

Remember: A rational number is one that can be ...

Initially drawing a diagram of the two lines helps to establish whether values should be positive or negative and gives a rough approximation of where the answer may be:

By...

(1): 3x+5y=3

(2): 6x+6y=10

Multiply number one by two to give a common factor of 6x in both equations.

(3)=[2*(1)]- 6x+10y=6

Take away equation (...

A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points o...

-First of all add these two equations together so that the ys get eliminated. 
5x=15
x=3 
Since you have found the answer to x which is 3, substitute x into the equation 2x...