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wolfgirl

(4)/(x-5)-(1)/(5) = (-5)/(5x-25)

  • 2 years ago
  • 2 years ago

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  1. wolfgirl
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    |dw:1315244053369:dw|

    • 2 years ago
  2. mfleisch5
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    ok well ur gonna end up with this here hold on

    • 2 years ago
  3. mfleisch5
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    20-(5x-25)=-5

    • 2 years ago
  4. mfleisch5
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    so then (5x-25)=25

    • 2 years ago
  5. mfleisch5
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    then 5x=50 and then x=10 :)

    • 2 years ago
  6. wolfgirl
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    tht is very confusing to me, wht happened to the fractions?

    • 2 years ago
  7. dhatraditya
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    first step: subtract 1/5 from 4/x-5 and post what you get. you know how to subtract fractions I assume? take LCM and cross multiply to subtract the LHS expression

    • 2 years ago
  8. dhatraditya
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    |dw:1315244980380:dw|

    • 2 years ago
  9. wolfgirl
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    I got (-5)/(5(x-5))

    • 2 years ago
  10. dhatraditya
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    for the LHS or RHS?

    • 2 years ago
  11. dhatraditya
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    mfleisch5's answer is incorrect btw.

    • 2 years ago
  12. wolfgirl
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    oh ok

    • 2 years ago
  13. dhatraditya
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    I trust you can take it from there?

    • 2 years ago
  14. wolfgirl
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    I got (-5)/(5x-25)=(-5)/(5x-25)

    • 2 years ago
  15. dhatraditya
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    how did you get -5/(5x-25) on the left hand side of the equation? can you show me the steps?

    • 2 years ago
  16. wolfgirl
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    I multiplied the 5 and the x-5, then I thought the 4 was negative and added it with the 1

    • 2 years ago
  17. dhatraditya
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    no, draw and show me. I don't understand what you just said.

    • 2 years ago
  18. dhatraditya
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    first off all, 4 is not negative. secondly, that is not how you subtract fractions.

    • 2 years ago
  19. wolfgirl
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    ok what about (-1)/(5(x-25)) = (-1)/(5(x-25))

    • 2 years ago
  20. dhatraditya
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    |dw:1315245667613:dw|

    • 2 years ago
  21. mfleisch5
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    wolfgirl, all you have to do is multiply 5 and x-5. once u do that, you will have all common denominators, so you can cross them out. then you are left with what i gave you, and the answer is x=10

    • 2 years ago
  22. dhatraditya
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    |dw:1315245751739:dw|

    • 2 years ago
  23. dhatraditya
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    no mfleisch5, x=10 is not the correct answer.

    • 2 years ago
  24. mfleisch5
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    how is it not?

    • 2 years ago
  25. wolfgirl
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    I got 15

    • 2 years ago
  26. dhatraditya
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    \[\frac{4}{x-5} = \frac{4}{x-5} \times \frac{5}{5} = \frac{20}{5(x-5)}\]

    • 2 years ago
  27. dhatraditya
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    similarly, \[\frac{-1}{5} = \frac{-1}{5} \times \frac{x-5}{x-5} = \frac{-(x-5)}{5(x-5)}\]

    • 2 years ago
  28. mfleisch5
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    exactly. and then u multiply the other one by x-5

    • 2 years ago
  29. dhatraditya
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    so, \[\frac{4}{x-5} - \frac{1}{5} = \frac{20}{5(x-5)} - \frac{x-5}{5(x-5)} = \frac{20-(x-5)}{5(x-5)}\]

    • 2 years ago
  30. mfleisch5
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    no, because everything has 5(x-5) so u can take all of the denominators out

    • 2 years ago
  31. dhatraditya
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    so the left hand side is \[\frac{20-x+5}{5(x-5)} = \frac{25-x}{5(x-5)}\]

    • 2 years ago
  32. dhatraditya
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    now, the right hand side is \[\frac{-5}{5x-25} = \frac{-5}{5(x-5)}\]

    • 2 years ago
  33. dhatraditya
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    that means \[\frac{25-x}{5(x-5)} = \frac{-5}{5(x-5)}\]

    • 2 years ago
  34. mfleisch5
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    if that is true then that would mean there would be unlimited answers because no matter what u put for x it will work out. u are wrong hatra! its 10

    • 2 years ago
  35. dhatraditya
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    the denominators are the same on both sides of the equation. that means the numerators are equal too. so, \[25-x = -5\] solve for x.

    • 2 years ago
  36. dhatraditya
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    you get x = 30

    • 2 years ago
  37. dhatraditya
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    got it, wolfgirl? also, mfleisch5, you are still wrong. follow the steps I have shown.

    • 2 years ago
  38. wolfgirl
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    almost, there are a lot of numbers

    • 2 years ago
  39. mfleisch5
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    no. u are wrong. blah.

    • 2 years ago
  40. dhatraditya
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    ignore mfleisch5, ignore the pictures I drew, just follow the steps I have shown

    • 2 years ago
  41. dhatraditya
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    Let me know if you have any difficulties.

    • 2 years ago
  42. wolfgirl
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    alright I got it thanks :)

    • 2 years ago
  43. dhatraditya
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    also, mfleisch5, substitute 10 in the original equation and see if it is right. its a very easy test to see if your answer is correct or not.

    • 2 years ago
  44. dhatraditya
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    when you substitute x = 10 in \[\frac{4}{x-5}-\frac{1}{5} = \frac{-5}{5x-25} \] you get \[\frac{4}{10-5}-\frac{1}{5} = \frac{-5}{50-25} \rightarrow \frac{4}{5}-\frac{1}{5} = \frac{-5}{25}\] \[\frac{3}{5} = \frac{-1}{5}\]

    • 2 years ago
  45. dhatraditya
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    which is a contradiction. therefore x = 10 is not the correct answer.

    • 2 years ago
  46. wolfgirl
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    ok cool

    • 2 years ago
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