Question

how do i solve this rational expression r-4/5r=1/5r+1

Answer 1

r - 4/5r  =  1/5r + 1

Subtract  1/5r from each side:    r - 4/5r - 1/5r  =  1

Combine all the 'r' terms on the left side: 

                                 r - 5/5r  =  1

                                 r  -  r  =  1

                                       0  =  1

There is no value of 'r' that can make ' 0 = 1 ' a true statement.
So the equation has no solution.