## Olyalhic one year ago solve for u. and simplify your answer as much as possible (explain please)

1. Olyalhic

$\frac{ 1 }{ u-1}=-5$

2. baru

multiply both sides by (u-1) $\frac{ u-1 }{u- 1 } = -5 \times (u-1)$

3. baru

on the left hand side: numerator = denominator, so it simplifies to $1= -5 \times (u-1)$

4. Olyalhic

oh okay

5. baru

yep, you are right...but theres more to do, you have to solve for 'u'

6. Olyalhic

okay so U = 1 because $5u \div 5 =u$ and then you have to do it to the other side so $5\div5=1$ and i guess that makes it $u=1$ ?

7. Olyalhic

@baru

8. baru

nope...but you are thinking along the right line

9. baru

lets start from here $1 = -5 \times (u-1)$

10. baru

divide both sides by (-5) to get $\frac{ 1 }{ -5 } = \frac{ -5 }{ -5 } \times (u-1)$

11. baru

with me so far?

12. baru

this again simplifies to $\frac{ -1 }{ 5 } = u-1$

13. Olyalhic

yes I am

14. baru

okay then now add 1 to both sides $\frac{ -1 }{ 5 } +1 = u-1+1$

15. baru

this simplifies to $\frac{ -1 }{ 5 } + 1 = u$

16. baru

understood? do you know how to simplify this further?

17. Olyalhic

yes I have it now

18. baru

u can simply further, if you know how to add and subtract fractions

19. Olyalhic

Thank you I got it right you helped a lot! @baru

20. baru

sure :)