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2x +3 + (4x-1)/2 = 10                  The divisor (2) is the biggest problem right now so we need to get it on its own...

(4x-1)/2 = 10-2x-3                       Equation has been rearranged!

First we complete the square on the equation of the circle to obtain: (x-2)^2 -4 + (y+4)^2 -16 = 5. Re arrange : (x-2)^2  + (y+4)^2 = 25 General equation of a circle: (x-a)^2 + (y-b)^2 = r^2, with centre ...

First expand each set of brackets:

(3x - 6) - (2x - 4)

Then simplify:

3x - 6 - 2x - (-4) = x - 2

First write down the series of numbers e.g.  8,  12,  16,  20.

Calculate the difference between each term in the series 12-8 = 4, 16-12 = 4,  20-16 = 4 This shows that the expression will begin wit...