Question

Question #97493

Answer 1

`x=3`

Explanation:

`1\div`(1/x-3)=0 means `1\div1/(x-3)=0`

dividing by a fraction means multiplying by its reciprocal (the fraction flipped upside down):
`1\cdot(x-3)/1=0`
`x-3=0`
`x=3`

Answer 2

Perhaps you meant:

`1/(1/x-3)=0`

If so, there are no solutions. There no value of `y` such that `1//y=0`.

We can also attempt to solve this by multiplying both sides by `1//x-3`, which results in the obviously false equality `1=0`. As such, there are no solutions.