Posted by **Yvette B.** on Friday, December 28, 2012 at 7:32pm.

If Z varies directly as X and inversely as Y, and Z = 9, when X = 5 and Y = 3, find X when Z = 18 and Y = 6

- Algbra 2 -
**Reiny**, Friday, December 28, 2012 at 7:42pm
"If Z varies directly as X and inversely as Y" ---> z =k(x/y)

when z=9, x=5,y=3

9 = k(5/3)

5k = 27

k = 27/5

So we have z = (27/5)(x/y)

for z=18, y = 6

18 = (27/5)(x/6)

27x = 540

x = 20

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