Question

If 1-(1/x) =3-(3/x), then 1-(1/x) = ? The answer is 0, but i'm not sure why?

Answer 1

First solve for \(x\).

Answer 2

\[\begin{split}
1-\frac 1x &=& 3-\frac 3x \\
x-1 &=& 3x-3 \\
3-1 &=& 3x-x
\end{split}\]

Answer 3

And we get x=1 so plugging it back in it equals 0! Thanks!