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To solve these simulataneous equations we need to use substitution :If 2x + y = 13 then y = 13 - 2xTherefore 3x - y = 12 can be rewritten as 3x - (13 - 2x) = 12We can expand these brackets and solve for x :3...

If we first calculate 30% of £4 to work out how much the price of the book has been reduced by.10% of £4 is £0.40. We know 30% will be this value multiplied by 3. Therefore 30% of £4 is £1.20.Now that we kno...

As this is a right angle triangle, we need to use Pythagoras's Theorem. This says that the length of the longest side of a right angle triangle (the hypotenuse) is equal to the sqaure root of the sum of the ...

Let log a be some number A and log b be some number B now the natural log of something is the equivalent of saying a=e^A and b = e^B So a*b = e^A * e^B which by rules of indices = e^(A+B) Therefore log(ab) =...

Factorise 2c 2 + 8c + 8. Use the following steps to factorise a quadratic: -Take out a common factor -Split into two brackets with the x term at the start of each bracket -Write out the factor pairs of the l...