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Mathematics 56 Online
OpenStudy (olyalhic):

solve for u. and simplify your answer as much as possible (explain please)

OpenStudy (olyalhic):

\[\frac{ 1 }{ u-1}=-5\]

OpenStudy (baru):

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

OpenStudy (baru):

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

OpenStudy (olyalhic):

oh okay

OpenStudy (baru):

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

OpenStudy (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 \[u=1\] ?

OpenStudy (olyalhic):

@baru

OpenStudy (baru):

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

OpenStudy (baru):

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

OpenStudy (baru):

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

OpenStudy (baru):

with me so far?

OpenStudy (baru):

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

OpenStudy (olyalhic):

yes I am

OpenStudy (baru):

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

OpenStudy (baru):

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

OpenStudy (baru):

understood? do you know how to simplify this further?

OpenStudy (olyalhic):

yes I have it now

OpenStudy (baru):

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

OpenStudy (olyalhic):

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

OpenStudy (baru):

sure :)

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