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These kinds of questions often come up in GCSE papers and involve algebraic manipulation. The key to answering these questions is finding a common factor in the numerator and denominator that can be cance...

Equation one: 3y - 7x = 15

- Double it and re arrange   3y - 7x = 15 goes to 3y = 7x + 15 goes to 6y = 14x + 30 we name this equation 3

Equation two: 2y = 4x +12

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When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs...

x^2 + y^2 = 9

x + y = 2 

1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation:

(1) 5x + 2y = 20(2) x + 4y = 13Step 1: Eliminate x or y. We do this but making either the x or y terms the same, in this example, I will make the y terms the same, by multiplying the first equation by 2.(...