Question

How do you solve `1/x + 2/(x-5)=0`?

Answer 1

`x=5/3`

Explanation:

Given: `1/x + 2/(x-5)=0`

Subtract `1/x` from both sides

`2/(x-5)=-1/x`

Cross multiply

`2x=-(x-5)`

`2x=-x+5`

Add `x` to both sides

`3x=5`

Divide both sides by 3

`x=5/3`