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Make x= Tea and y= CoffeeTherefore 3x + 2y = 7.80 (1) and 5x + 4y = 14.20. (2)Want either x or y to be equal for both equations- therefore make (1) 6x + 4y = 15.60 (3)“Same signs subtract” so do (3) - (2)...

First we need to make sure we understand implicit differentiation. As we are differentiating with respect to x, y has to be treated differently, this is because it could be anything from a constant to a f...

For simplicity first rewrite as y=(4+3x)/(5-x). Now swap any x for a y, and any y for an x. This leaves the equation x=(4+3y)/(5-y). Our goal is to make y the subject of the formula. Multiply both sides b...

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Factorising is taking an expression of some sort and simplifying it down to its component parts so that they are presented in the simplest way possible. For example, take the expression (15pq + 10pqr). Fi...