Question

y varies inversely as three times x. When x = 6, y = 4. Find x when y = 8.

Answer 1

y varies inversely as 3 times x means:
3 times x = 3*x
inversely as 3*x = 1/(3x), so
y = 1/(3x)

Answer 2

Well actually
y = a/(3x), we don't know what a is yet.

Answer 3

But we do know that when x = 6 y=4
4 = a/(3*6) => a = 4*3*6 = 72

Answer 4

y = 72/(3x) = 24/x

Answer 5

when y = 8:
8 = 24/x
x = 3

Answer 6

I think that's right, satellite, can you check it over please?

Answer 7

alright thanks

Answer 8

looks good to me

Answer 9

tnx