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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.(1) ...
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Answered by Andrew B. • Maths tutor
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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 would need to move the 'x' value t...
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Answered by Alexandra B. • Maths tutor
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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 number...
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Answered by Andrew D. • Maths tutor
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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
8381 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 into two sets of brack...
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Answered by Tiarnan B. • Maths tutor
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