Answer
-1
Work Step by Step
We are given the expression $\frac{x-5}{5-x}$. We can use the distributive property to factor out a -1 from the numerator.
$x-5=-1(-x+5)=-1(5-x)$
Therefore, the expression simplifies to
expression as $\frac{-1(5-x)}{5-x}$. In this case, the numerator is the opposite of the denominator, so this fraction simplifies to -1.