Fill in the blank to make equivalent rational expressions

Question

anonymous · Answer

$$\frac{ 8-x }{ -x-9 }=\frac{ ? }{ x+9 }$$

knowledge · Answer

No

knowledge · Answer

The two denominators are multiplied by -1 so then the numerator also is multiplied-1

knowledge · Answer

negative x minus 9 is equal to X plus 9 times -1 that is why 8 minus X should be multiplied by -1

anonymous · Answer

@jigglypuff314 can you explain to me what knowledge is trying to get me to see?

jigglypuff314 · Answer

-x - 9 = -(x+9)

whether or not the negative is on top or bottom doesn't matter
so on the left
-( 8-x )
-------
  (x+9)

now the denominators on both sides match

anonymous · Answer

Comparing the denominators, -x-9 = -1*(x+9).
so multiplying the numerator by -1 should give the numerator of the right side.
-1*(8-x)= -8+x

anonymous · Answer

aha