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Maths
GCSE

Solve these simultaneous equations. 5x + 2y = 20 and x + 4y = 13.

(1) 5x + 2y = 20(2) x + 4y = 13Step 1: Eliminate x or y. We do this but making either the x or y terms the same, in this example, I will make the y terms the same, by multiplying the first equation by 2.(...

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Answered by Andrew B. Maths tutor
7180 Views

Solve 3(x+4) = 18

The first step would be to multiply out the bracket. So, using this example we would times each item inside the bracket by 3.

As a result we would get: 3x + 12 = 18

Then we ...

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Answered by Alexandra B. Maths tutor
36495 Views

How do I rationalise the denominator of a fraction?

I am going to assume you know what an irrational number is, given that that should have been taught right at the beginning the topic of surds. When I talk about a “rational” number, here I mean “whole num...

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Answered by Andrew D. Maths tutor
6993 Views

A right-angled triangle has base 7cm and height 6cm. Find it's area.

Using the equation Area = 1/2 * base * height:

Area = 1/2 * 7 * 6

Area = 21 units.

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Answered by Samuel B. Maths tutor
7246 Views

How can I solve a quadratic equation by factorisation?

There are many ways to solve quadratic equations including completing the square, factorisation and using the quadratic equation.

Factorisation involves breaking the quadratic equation in...

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Answered by Tiarnan B. Maths tutor
4592 Views

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