solve for u. and simplify your answer as much as possible (explain please)
\[\frac{ 1 }{ u-1}=-5\]
multiply both sides by (u-1) \[\frac{ u-1 }{u- 1 } = -5 \times (u-1)\]
on the left hand side: numerator = denominator, so it simplifies to \[1= -5 \times (u-1)\]
oh okay
yep, you are right...but theres more to do, you have to solve for 'u'
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 \[u=1\] ?
@baru
nope...but you are thinking along the right line
lets start from here \[1 = -5 \times (u-1)\]
divide both sides by (-5) to get \[\frac{ 1 }{ -5 } = \frac{ -5 }{ -5 } \times (u-1)\]
with me so far?
this again simplifies to \[\frac{ -1 }{ 5 } = u-1\]
yes I am
okay then now add 1 to both sides \[\frac{ -1 }{ 5 } +1 = u-1+1\]
this simplifies to \[\frac{ -1 }{ 5 } + 1 = u\]
understood? do you know how to simplify this further?
yes I have it now
u can simply further, if you know how to add and subtract fractions
Thank you I got it right you helped a lot! @baru
sure :)
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