SOLUTION: Hello, I want to convert this equation (y = x/(a+bx)) in the form of either y = ax + b or y = ax˛ +bx. Can somebody help me out please. Thank you .

Algebra ->  Equations -> SOLUTION: Hello, I want to convert this equation (y = x/(a+bx)) in the form of either y = ax + b or y = ax˛ +bx. Can somebody help me out please. Thank you .       Log On


   

Question 960113: Hello,
I want to convert this equation (y = x/(a+bx)) in the form of either y = ax + b or y = ax˛ +bx. Can somebody help me out please. Thank you .

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If I say:
+z+=+a+%2B+b%2Ax+
Then,
+b%2Ax+=+z+-+a+
+x+=+%28+z-a+%29%2Fb+
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+x+%2F+%28+a+%2B+b%2Ax+%29+=+%28+z-a+%29+%2F+%28+b%2Az+%29+
Doing the division, I get:
+1%2Fb+-+a%2F%28+b%2Az%29+
+1%2Fb+-+%28+a%2Fb+%29%2A%28+1%2Fz+%29+
I'll say:
+w+=+1%2Fz+
then +y+=+-%28a%2Fb%29%2Aw+%2B+1%2Fb+
with the substitution +w+=+1%2F%28+a+%2B+b%2Ax+%29+
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This may not be what you want -another opinion
is needed, I think