An algebra problem by Soham Kossambe

You should rewrite the equation so that it has none solutions.

You wrote:

x-x/x-1=1-x/x-1

and that equation is interpreted as:

$x-\dfrac{x}{x} - 1=1-\dfrac{x}{x}-1$

which has one solution $x=1$

Being that said, you should modify what you wrote as follows:

x-x/(x-1)=1-x/(x-1)

which is interpreted as:

$x-\dfrac{x}{x-1}=1-\dfrac{x}{x-1}$

and it has $\boxed{0}$ solutions.

By solving equations, x-x/x-1=1-x/x-1 x-x=1-x x=1 But, on substituting the values, the denominator turns to be 0!!! Which is not possible , Hence there are no solutions .