SOLUTION: {{{(x-2)/(x-3) = (x-1)/(x+1)}}}

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Question 36749:
Answer by Cintchr(481)   (Show Source): You can put this solution on YOUR website!

Cross multiply

FOIL both sides

the x^2 cancel each other out since they are of the same coefficient and sign

Add 4x and 2 to both sides

divide by 3

Plug this into each of the denominators.
and
and
and
Neither of these comes out to be zero, so both are solutions to the rational equation

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