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We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increas...

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y mu...

To explain this to a student, I would start by explaining the general formula for a quadratic equation, (ax^2 + bx + c = 0). Then I would show using an example, how the a,b and c can be substituted with n...

You would use Pythagoras theorem, which states, a^2 + b^2 = c^2. Where a is the opposite side to the angle, b is the side adjacent to the angle and c is the hypotenuse.

So if a = 3 cm, and b = 4 c...

The first thing we want to do is change the first equation so it's either all x's or all y's, we don't want a mixture. Now looking at the bottom equation, we can rearrange it by adding y to both sides. Th...