Question

Given the equation `x/y+5x=6+1/y`, where x can be any real number except 1 or 6/5. If y is solved in terms of x, the result is y=?

Answer 1

`y=(x-1)/(6-5x)`

Explanation:

You can rearrange the equation as:

`x/y-1/y=6-5x`

Factoring out `1/y` in the left hand side,
`1/y(x-1)=6-5x`

Dividing both sides by `(x-1)`,
`1/y=(6-5x)/(x-1)`

Taking the reciprocal of both sides,
`y=(x-1)/(6-5x)`