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=?

1 Answer
Nov 8, 2017

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)