SOLUTION: 7 over y-1 + 1 over y = 9 over 8. my work so far 7(8)(y-1)y + 8(y-1)y = 9(8)(y-1)multiply each term by the LCD 54y+8y-8=9(y-1)y. need help from here please show work so I can under

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 7 over y-1 + 1 over y = 9 over 8. my work so far 7(8)(y-1)y + 8(y-1)y = 9(8)(y-1)multiply each term by the LCD 54y+8y-8=9(y-1)y. need help from here please show work so I can under      Log On


   

Question 504029: 7 over y-1 + 1 over y = 9 over 8. my work so far 7(8)(y-1)y + 8(y-1)y = 9(8)(y-1)multiply each term by the LCD 54y+8y-8=9(y-1)y. need help from here please show work so I can understand how to do it myself thanks.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7/(y-1)+1/y=9/8


56y + 8(y-1) = 9y(y-1) ... you made a mistake/typo on this line (should be 56y at the beginning and NOT 54y)


56y + 8y-8 = 9y^2-9y


64y-8 = 9y^2-9y


0 = 9y^2-9y-64y+8


0 = 9y^2-73y+8


9y^2-73y+8 = 0


9y^2-72y-y+8 = 0


(9y^2-72y)+(-y+8) = 0


9y(y-8)-1(y-8) = 0


(9y-1)(y-8) = 0


9y-1 = 0 or y-8 = 0


9y = 1 or y = 8


y = 1/9 or y = 8


So the solutions are y = 1/9 or y = 8


Let me know if you need me to go over a certain step/line of the work above.


If you need more help, feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim