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Firstly, we need to eliminate on of the terms of the equation, either the x or the y term, by combining the two equations into one equation. To do this we can add or subtract the two equations from each o...

There are four trigonometry rules which you need to know: Pythagoras, SohCahToa, the cosine rule and the sine rule. The first two only work on right angle triangles, and the second two apply to non-right ...

1. 2x + 5y = 33 2) x + 3y = 19
   multiply equation 2 by a factor of 2 giving you 2x + 6y = 38 Your two equation are now: 1) 2x + 5y = 33 3) 2x + 6y = 38
   Subtract 3 from 1 to eliminate the x's ...

This kind of equation is called a quadratic or a polynomial of degree 2.The goal when faced with a quadratic is to solve it as fast as possible. We do this in two steps.
First, we check if there is a...

First, factorise both the top and the bottom expressions. What is the common factor for the top expression? (expect an answer of x). If you factorise out the x, what are you left with? (expect x(x+3))What...