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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
YS
Answered by Yi S. • Maths tutor
5669 Views

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
LR
Answered by Leonie R. • Maths tutor
3740 Views

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 receive)...
LT
Answered by Lewis T. • Maths tutor
7744 Views

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 simplify the RHS by expan...
YS
Answered by Yasmin S. • Maths tutor
8304 Views

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 out...
EJ
Answered by Ellie J. • Maths tutor
22163 Views