Question

How do you solve `[(X-1) / (X-3)] = [2 /(X-3)]`?

Answer 1

No solutions exist.

Explanation:

`(x-1)/(x-3)=2/(x-3)=>` multiply both sides by `x-3`:

`x-1=2=>` add 1 to both sides:

`x=3=>` notice that `x=3` is not in the domain of the original equation since it makes it undefined, hence 3 is not a solution and must be rejected and this equation therefore has no solutions.