SOLUTION: z varies jointly as x and y x is 4 when y=3 and z=2.What is z if x=8 and y=6

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Question 1048985: z varies jointly as x and y
x is 4 when y=3 and z=2.What is z if x=8 and y=6
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
z varies jointly as x and y
z%22%22=%22%22k%2Ax%2Ay

x is 4 when y=3 and z=2.

Substitute x=4, y=3, z=2

2%22%22=%22%22k%2A4%2A3

2%22%22=%22%2212k

Divide both sides by 12

2%2F12%22%22=%22%22k

1%2F6%22%22=%22%22k

Substitute 1%2F6 for k in

z%22%22=%22%22k%2Ax%2Ay

z%22%22=%22%22expr%281%2F6%29%2Ax%2Ay

What is z if x=8 and y=6
Substitute x=8 and y=6

z%22%22=%22%22expr%281%2F6%29%2A8%2A6

z%22%22=%22%228

Edwin