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6x-2y=33 4x+3y=9

12x-4y=66 12x+9y=27-13y=39 y=-312x+9(-3)=2712x-27=2712x=54x=4.5

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A linear sequence starts a + 2b, a +6b, a + 10b. The 2nd has a value of 8 and the 5th term has a value of 44. What are the values of a and b?

a + 6b = 8 5th term: a + 18b = 44
term 1: a + 6b = 8term 2: a + 18b = 44
term 2 - term 1: 12b = 36b = 36/12 = 3
a + 6b = 8a + 6(3) = 8a = 8-18 = -10

Answered by Leonie R. • Maths tutor

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Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?

We can calculate the sum of the numbers in the ratio. 1+2+5=8.Now divide £7200 by 8 to find out how much 1/8 is worth (7200/8=90)Finally multiply 90 by 5 to calculate 5/8 (the amount that Harry will recei...

Answered by Lewis T. • Maths tutor

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For all values of x f(x) = x^2 + 2 g(x)= x - 5 show that fg(x) = x^2 -10x +27

Firstly, we have to substitute g(x) into the function f(x)So, fg(x) = (g(x))^2 +2
Next we must rewrite the equation on the RHS in terms of x only
So, fg(x) = (x-5)^2 +2
Next we must simpli...

Answered by Yasmin S. • Maths tutor

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In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

Good question! This is exactly the kind of question that could come up on the GCSE non-calculator paper. I think the main thing that makes this question tricky is sifting out the information and figuring ...

Answered by Ellie J. • Maths tutor

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