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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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How are leaves of a plant adapted to enable photosynthesis?

Leaves have 4 main adaptations which enable them to carry out photosynthesis successfully. 1) Thin - this allows carbon dioxide to easily diffuse into the leaf cells 2) Transparent epidermis - this allows li...
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Answered by Rebecca G. • Biology tutor
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A stationary radium atom decays, emiting an alpha particle. Why is the recoil speed of the nucleus small compared to the alpha particle?

Initially the momentum is zero. Due to conservation of momentum, the alpha particle and radium nucleus must gain equal but opposite momentum. The mass of the radium nucleus is greater than the mass of the al...
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Answered by Daisy D. • Physics tutor
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