SOLUTION: What is the inverse of (5x)/(8x+7)

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Question 449298: What is the inverse of (5x)/(8x+7)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
start with:
y = (5x)/(8x+7)
switch the x and y:
x = (5y)/(8y+7)
solve for y:
x = (5y)/(8y+7)
x(8y+7) = (5y)
8xy+7x = 5y
7x = 5y-8xy
7x = y(5-8x)
7x/(5-8x) = y
.
So, the inverse is:
7x/(5-8x)