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example: solve the simultaneous equations 3x+2y=4 and 2x+y=3

1:   3x+2y=4
2:   2x+y=3

want to either get same number of x's or same number of y's in equa...

We all make silly mistakes when in comes to Maths, so here are some common mistakes to help you out. 1. Partial Fractions: Many students think x+2/(x+1)^2 becomes A/(x+1) + B/(x+1) This ...

(2x+3) (2x+1) = 4x^2 + 8x + 3

(2x-8) (x-4) = 2x^2 - 16x - 32

(4x^2+8x+3) - (2x^2-16x-32) = 1

2x^2 - 8x - 29 = 1

2x^2 - 8x - 30 = 0

x^2 - 4x - 15 = 0

Using the qua...

This is a simple yet standard GCSE question, especially in non-calculator papers. The solution is simple: if the student is picked at random, then the probability 2/5 must represent a ratio where the othe...

Firstly we need to work out the new price of the 3 litres of shampoo after 15% has been taken off.  Let's use the three step method for percentages. 100% is £12.80 £12.80/ 100= £0.128     1% is £0.128 £0....