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Olyalhic

  • one year ago

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

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  1. Olyalhic
    • one year ago
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    \[\frac{ 1 }{ u-1}=-5\]

  2. baru
    • one year ago
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    multiply both sides by (u-1) \[\frac{ u-1 }{u- 1 } = -5 \times (u-1)\]

  3. baru
    • one year ago
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    on the left hand side: numerator = denominator, so it simplifies to \[1= -5 \times (u-1)\]

  4. Olyalhic
    • one year ago
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    oh okay

  5. baru
    • one year ago
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    yep, you are right...but theres more to do, you have to solve for 'u'

  6. Olyalhic
    • one year ago
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    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
    • one year ago
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    @baru

  8. baru
    • one year ago
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    nope...but you are thinking along the right line

  9. baru
    • one year ago
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    lets start from here \[1 = -5 \times (u-1)\]

  10. baru
    • one year ago
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    divide both sides by (-5) to get \[\frac{ 1 }{ -5 } = \frac{ -5 }{ -5 } \times (u-1)\]

  11. baru
    • one year ago
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    with me so far?

  12. baru
    • one year ago
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    this again simplifies to \[\frac{ -1 }{ 5 } = u-1\]

  13. Olyalhic
    • one year ago
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    yes I am

  14. baru
    • one year ago
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    okay then now add 1 to both sides \[\frac{ -1 }{ 5 } +1 = u-1+1\]

  15. baru
    • one year ago
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    this simplifies to \[\frac{ -1 }{ 5 } + 1 = u\]

  16. baru
    • one year ago
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    understood? do you know how to simplify this further?

  17. Olyalhic
    • one year ago
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    yes I have it now

  18. baru
    • one year ago
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    u can simply further, if you know how to add and subtract fractions

  19. Olyalhic
    • one year ago
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    Thank you I got it right you helped a lot! @baru

  20. baru
    • one year ago
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    sure :)

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