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b is two thirds of c. 5a = 4c Work out the ratio a : b : c Give your answer in its simplest form where a, b and c are integers

a : c = 4 : 5 and b : c = 2 : 3 so getting a common value of 15 for B gives a : c = 12 : 15 and b : c = 10 : 15 we can now compare these ratios and get 12 : 10 : 15 this is not divisible by any common factor...
JC
Answered by jamie c. • Maths tutor
8990 Views

Solve the simultaneous equations: 5x + y = 21 and x - 3y = 9

x = 4.5y = -1.5To answer this question, first, rearrange the first equation to make y the subject: 5x + y = 21 --> y = 21 - 5xYou can now substitute this value of y into the second equation: x - 3(21 - 5x...
SA
Answered by Sophie A. • Maths tutor
4115 Views

Factorise 100-x^2

Via inspection, one can factorise this via the difference of squares; since a^2-b^2 = (a+b)(a-b), therefore:100-x^2 = (10-x)(10+x)
HM
Answered by Howard M. • Maths tutor
7566 Views

Solve the simultaneous equations: 3y + 2x = 10, 4x - y + 3 = 2

The first step whenever you are given an equation is to group like terms. By this I mean put all the terms with the same letter next to it together and, in this case, the numbers without a letter. For the eq...
TM
Answered by Tom M. • Maths tutor
4098 Views

v^2=u^2 + 2as u=12 a=-3 s = 18 Find v

First we can plug in the values we already know into the equation we would get: V 2 = 12 2 + (2 x -3 x 18) then we would seperate the two multiplications on the right hand side12 x 12 = 144 2 x -3 x 18 = -6 ...
OB
Answered by Oscar B. • Maths tutor
8273 Views