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Question from an Edexcel GCSE Maths Higher Paper (Nov 2018) - Solve the simultaneous equations: 5x + y = 21, x-3y = 9 (3 marks)

So since there are two unknowns in this question, its slightly more difficult than a normal equation where we only have 1 x or y that we're trying to work out. There are two ways to deal with this type of si...
Answered by Maths tutor
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Harry mixes white paint and blue paint in the ratio 2:5. He makes a total of 21 litres of paint. How much more blue paint does he need to add to the mixture so that the ratio of white paint to blue paint becomes 1:4?

W:B = 2:5 Total of 21 litres of paint. We want a ratio of W:B = 1:4 = 2:8 Therefore we must add 3 parts of blue paint 2 + 5 = 7 parts total7 parts = 21L1 part = 3L3 parts = 9L Therefore must add 9L of blue p...
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Answered by James B. Maths tutor
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Solve the simultaneous equations: x2 + y2 = 20, 3x=2-y

x = -4/5 or 2 y = 22/5 or -4
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Answered by Ishtiaq A. Maths tutor
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Factorise fully 20x^2 - 5

When factorising an expression, you first want to find the highest common factor in each term of the expression. Here, our terms are 20 and 5. The highest common factor here is 5, so we want to take 5 out of...
Answered by Maths tutor
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Factorise x^2+5x+6

When factorizing a quadratic equation you need to try and find 2 numbers that add up to give the 2nd term and times together to give the 3rd term. We can find these 2 numbers by looking at the factors of the...
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Answered by Oscar G. Maths tutor
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