How do you multiply $(x-3)/(x-5)=3/(x-5)$ ?

Question

1577 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-16T11:49:12

We first determine that $x!=5$ , as this would make the denominators $=0$ , which is not allowed.

Then we can cancel out the $(x-5)$ on both sides (=multiply both sides by $x-5$ ):

$->(x-3)=3->x=6$

Answer : $x=6$

How do you multiply (x-3)/(x-5)=3/(x-5)(x-3)/(x-5)=3/(x-5)?