SOLUTION: if (x+y) varies directly as (x-2y)and k is the constant of variation,find x in terms of y and k.

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Question 255908: if (x+y) varies directly as (x-2y)and k is the constant of variation,find x in terms of y and k.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
From the problem, we get
%28x%2By%29+=+k%2A%28x-2y%29
now expand the right side to get
%28x%2By%29+=+kx-2ky
subtract kx and y from both sides to get
x-kx+=+-y+-+2ky
factoring, we get
x%281-k%29+=+-y%281%2B2k%29
dividing, we get
x+=+-y%2A%281%2B2k%29%2F%281-k%29
a restriction is that k cannot = 1