SOLUTION: solve for y: 3y = (y-2)/(x-1)

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Question 84861: solve for y: 3y = (y-2)/(x-1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3y=%28y-2%29%2F%28x-1%29 Start with the given equation

3y%28x-1%29=%28%28y-2%29%2Fcross%28x-1%29%29cross%28x-1%29 multiply both sides by x-1

3y%28x-1%29=y-2

3xy-3y=y-2 Distribute

3xy-3y-y=-2 Subtract y from both sides

y%283x-3-1%29=-2 Factor out a y

y%2Across%28%283x-3-1%29%2F%283x-3-1%29%29=-2%2F%283x-3-1%29 Divide both sides by %283x-3-1%29

y=2%2F%283x-3-1%29

y=2%2F%283x-4%29 Combine like terms

So our answer is

y=2%2F%283x-4%29