SOLUTION: I need help solving this problem: X-2 X-1 ___ = _____ X-3 X+1

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Question 3557: I need help solving this problem:
X-2 X-1
___ = _____
X-3 X+1
Found 2 solutions by longjonsilver, Pieter:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
multiply both sides by (x-3)(x+1) so that, with cancelling, we can cancel the fractions to leave:
(x+1)(x-2) = (x-3)(x-1)
x%5E2+-+x+-+2+=+x%5E2+-+4x+%2B+3
3x = 5
x = 5/3

jon.

Answer by Pieter(35) About Me  (Show Source):
You can put this solution on YOUR website!
when you know that if a/b = c/d then is a*c = b*d.
Applying this here we get:
(x-2)(x+1)= (x-3)(x-1); now we 'distribute':
x²+x-2x-2 = x²-x-3x+3
or -x -2 = -4x +3 (the x² is gone because it was at the both sides)
bringing to the left hand side:
3x-5=0
this gives x=5/3 as solution.
Greets,
contact me if you need any help