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I'm getting x = 11/3 as well.

My workings:

(x-3)/(x-1) = (x-4)/(x-5)

(x-3)(x-5) = (x-4)(x-1)

x^2 -8x + 15 = x^2 -5x +4

-8x + 11 = -5x

11 = 3x

x = 11/3

FWIW, wolfram alpha agrees with me.



You changed the equation.

You started with

(x-3)/(x-1) = (x-4)/(x-5)

which is not the same as

x - 3/x - 1 = x - 4/x - 5

, the equation in the submission.


Haha, thanks - I guess the problem is in my parsing :)




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