How can you evaluate ((2x-5)(x-y)) / ((y-x)(3x-1))?

1 Answer
Adrian D.
Jul 29, 2015

-(2x-5)/(3x-1)

Explanation:

First note that:
((2x-5)(x-y))/((y-x)(3x-1))=-((2x-5)cancel((x-y)))/(cancel((x-y))(3x-1))

So in fact this expression is only a function of x and the value of y is irrelevant. Plug the value of x into the remaining expression to evaluate it, for example x=1:

-(2x-5)/(3x-1)=-(2-5)/(3-1)=-(-3)/(2)=3/2

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