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Solve the following pair of simultaneous equations: 2x - y = 7 and 4x + y = 23

2x - y = 74x + y = 23In this pair of simultaneous equations, we have two unknowns. We can solve them simultaneously using substitution or elimination, but I will go through the elimination method. I wish to ...
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Answered by Lauren R. • Maths tutor
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"The theme of physical and mental abuse in Jane Eyre is presented by Brontë chiefly to inform the reader of social issues”. Discuss.

[I have decided to do an essay plan here, as the answer would be much longer than 1-2 paragraphs]Introduction - outline argument (yes, no, sort of) and give a brief overview of mid-Victorian contextParagraph...
TD
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AQA, foundation 2016: Lee does a sponsored silence for 2.25 hrs. He is sponsored 80p per minute. How much does he raise?

80p every minute.So how much in 15 mins?How much in an hour?What operation do we use?Easy way to do mental maths - break it up!2.25hrs = 1hr + 1hr + 15 mins80p 60 + 80p 60 + 80p*15?= 4800p + 4800p + 1200p= 1...
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Answered by Garima A. • Maths tutor
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OCR, 2016, Higher Maths: Rationalise the denominator 1/(1+sqrt(3))

First make sure they know are clear on what a rational number isAsk them to try multiplying 1 + sqrt(3) by different values to see how to make it a rational numberE.g. they might try (1+sqrt(3)) 2 ---> se...
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Answered by Garima A. • Maths tutor
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Edexcel, 2016, Foundation Maths GCSE: A running club has 50 members. 30 members take part in road races, 15 members take part in fell races, 12 members do not run in road or fell races. How many members run both fell and road races?

Start with a Venn Diagram. Ask them to draw it out and put the numbers where they think the numbers should go. Talk about overlapping: e.g. imagine two paper circles that overlap. The middle portion is thick...
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Answered by Garima A. • Maths tutor
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