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

1 Answer
Oct 14, 2015

Answer:

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.