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The easiest way to solve this is to first eliminate the denominators by multiplying the whole expression by the lowest common multiple of 4, 3 and 6. In this case it is 12. If each fraction is multiplied ...

The first step to solving any equation is to work out what kind of equation it is. As this particular equation has only x's and numbers, and it has a x² term, we know that it is quadratic.Now t...

[A] 2x + y = 18[B] x - y = 6Rearrange [A] to make y the subject 2x + y = 18minus 2x| y = 18 - 2xReplace the value y in [B] with the rear...

First substitute x = -1 into the equation for the line to find the coordinates at the point where x = -1y = -3+2-1 = -2Next differentiate to find dy/dxdy/dx = 9x²+4xSubstitute x = -1 to find th...

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. Fro...