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1. In order to solve simultaneous equations, you need to make either terms of x (i.e. '2x') or terms of y (i.e. 'y') in equation (1) and equation (2) equal. To do this, multiply either (1) or (2) as sh...

1. Factorise

(x-3)(x-2) =0

Therefore  x-3=0, x=3. Also x-2=0, x=2.

Find 3.6262 (recurring) as a fraction s=3.626262 (recurring) 100s= 362.626262 99s= 100s - s 99s=359 s=359/99

Firstly remember that each part of the equation can be differentiated separately. Let's label each part:

Part A: 2(x^2)y

Part B: 2x

Part C: 4y

Part D: -cos(piy)

Part E: ...

= (30/15+11/15) - (3/3+1/3) = (41/15)-(4/3) = (41/15)-(20/15) = (21/15) = (7/5)