Question 34523
{{{ (x-7)/(x-9) = (2)/(x-9) }}}
Because the denominators are the same ... drop them
{{{ x-7 = 2 }}}
{{{ x=9 }}}
Plug this back into the denominator.
{{{ 9-9 = 0 }}}
We can not divide by zero.  So although it makes the numerators balance out, the answer to this is "No Solution"