Question

If x = 1/r + 1 then solve the equation xr + 2/3 = 2r (show your work)

Answer 1

If
`x = (1)/(r) +1`

We have:

`xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3`

ANSWER: r = 5/3 if x = 1/r + 1

Ok done. Thank to me :3