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There are two really simple steps we can use to be able to differentiate in a question like this. The first step is to multiply the number in the power by the number in front of the variable - in this cas...

Apple costs: 30pBanana costs: 55pFinal Answer: £2.30
Answer should be calculated by first interpreting the question to form two simultaneous equations. These can be solved by either substitution or e...

Line 1: y = 2x + 2 Line 2: y = x² - 1
Firstly, intersection of two lines is the point at where the coordinates of both lines are the same. X1 = X2 and Y1 =...

We must factorise. Find factor pairs of -12;1,-12;-1,12;2,-6;-2,6;3,-4;-3,4. Out of the pairs, we must find the pair that will add up to -1 - this is because of the '-x' part of the equation. The answer i...

Firstly, multiply eq.1 by 2, to obtain: (eq.3) 2x + 6y = 20Next, subtract eq.2 from eq.3 to obtain: (eq.4) 5y = 15Next, divide eq.4 by 5 to obtain: y = 3Now substitute y = 3 into any of the previous equat...