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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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What are the set of values for x that satisfy the below equation?

x 2 - 9x ≤ 36 1. Draw a graph. y = x 2 - 9x and y = 36 2. Find the points of intersection by solving x 2 - 9x = 36 x 2 - 9x = 36 x 2 - 9x - 36 = 0 (x - 12)(x + 4) = 0 Therefore, the lines intersect at x = 12...
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Answered by Daisy D. Maths tutor
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What is the difference between a definite integral and an indefinite integral?

A definite integral is actually a numerical value, which the represents the area under a graph between two points. For example, if you integrated f(x) between two values (lets call them a and b), the answer ...
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Answered by Alex W. Maths tutor
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