Question 468673
Solve
{{{(y-1)/(y-4)=3/(y-4)}}}
<pre>
Multiply both sides by {{{(y-4)}}}

{{{y-1 = 3}}}

{{{ y = 4}}}

But we must check a solution to a
rational equation in the original
rational equation to make sure we do 
not have an extraneous answer:

{{{(y-1)/(y-4)=3/(y-4)}}}

{{{(4-1)/(4-4)=3/(4-4)}}}

{{{3/0=3/0}}}

That looks correct, but it is meaningless
because division by 0 is not defined.

Therefore there is no solution.

Edwin</pre>