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Firstly number the two equations 1 and 2 for simplicity. To solve this we want to eliminate one of the variables, x or y, so we start by looking at the equations and seeing if we can add or subtract them ...

The first thing you must do is get all the terms on the same side, which we do by adding 6 to both sides : x^2 + 5x + 6 = 0.
Next, we must work out which numbers add to the middle term, and write th...

Rule: An equation must be balanced. Therefore, in order to keep the equation balances, what you do to one side you must do to the other side. Change of subject questions require you to isolate the require...

There are two methods for solving simultaneous equations, the algebraic method or graphic method. While using graphs is a useful visual way to solve simultaneous equations, this is more time consuming and...

1. x² + 15 x + 50 = 0 (rearrange by adding 50 to both sides)

2. (x + 10)(x + 5) = 0 (factorise the quadratic equation)

3. x + 10 = 0 or x + 5 = 0 (for the a...