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anonymous

  • one year ago

Simplified version of x+2/y-3 + 3x-1/y-3.... is the corrrect answer 4x+1/y-3 ??? Medals

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  1. jim_thompson5910
    • one year ago
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    the original expression is this right? \[\Large \frac{x+2}{y+3} + \frac{3x-1}{y+3}\]

  2. anonymous
    • one year ago
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    Yes

  3. anonymous
    • one year ago
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    ya thats right

  4. jim_thompson5910
    • one year ago
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    you have the correct answer assuming you meant to write \[\Large \frac{4x+1}{y+3}\]

  5. jim_thompson5910
    • one year ago
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    sorry for some reason, I wrote "y+3" when it should be "y-3". My bad

  6. anonymous
    • one year ago
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    Thank you both!! And its okay thank you for your help!

  7. jim_thompson5910
    • one year ago
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    no problem

  8. anonymous
    • one year ago
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    Did i get this one right too? 3/x+1 + 4/x+1.... the answer is 7/x+1 ??

  9. jim_thompson5910
    • one year ago
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    yes you did

  10. jim_thompson5910
    • one year ago
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    Nice job

  11. jim_thompson5910
    • one year ago
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    use parenthesis to indicate you are dividing by all of "x+1" `3/x+1` is NOT the same as `3/(x+1)`

  12. jim_thompson5910
    • one year ago
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    \[\Large 3/x + 1 = \frac{3}{x} + 1\] \[\Large 3/(x + 1) = \frac{3}{x+1}\]

  13. anonymous
    • one year ago
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    Im so sorry I didn't know! I'm new to this so I'm learning

  14. jim_thompson5910
    • one year ago
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    that's ok

  15. anonymous
    • one year ago
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    Am i correct for this problem also? 5x^2 - x(x-3) = 4x^2- 3x ??

  16. jim_thompson5910
    • one year ago
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    you distributed incorrectly

  17. jim_thompson5910
    • one year ago
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    |dw:1442454918377:dw|

  18. jim_thompson5910
    • one year ago
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    |dw:1442454929560:dw|

  19. anonymous
    • one year ago
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    Oh okay! So it would be 4x^2+ 3x

  20. jim_thompson5910
    • one year ago
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    yes

  21. anonymous
    • one year ago
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    Also could you help me with a problem that I have no idea how to do? Its x-{-x+[-x-(x-1)]}

  22. jim_thompson5910
    • one year ago
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    let's work from the inside and work our way outward

  23. jim_thompson5910
    • one year ago
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    what is -(x-1) equal to?

  24. anonymous
    • one year ago
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    -x+1 ?

  25. jim_thompson5910
    • one year ago
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    good

  26. jim_thompson5910
    • one year ago
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    replace the `-(x-1)` with `-x+1` and we go from this `x-{-x+[-x-(x-1)]}` to this `x-{-x+[-x-x+1]}`

  27. anonymous
    • one year ago
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    Okay now where to from there?

  28. jim_thompson5910
    • one year ago
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    -x-x+1 simplifies to ???

  29. anonymous
    • one year ago
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    -x^2 +1 ??

  30. jim_thompson5910
    • one year ago
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    no

  31. jim_thompson5910
    • one year ago
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    you might be thinking of -x times x but instead it's -x minus x

  32. anonymous
    • one year ago
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    0?

  33. jim_thompson5910
    • one year ago
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    not quite

  34. jim_thompson5910
    • one year ago
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    what is -1 -1 equal to

  35. anonymous
    • one year ago
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    -2

  36. jim_thompson5910
    • one year ago
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    think of it as I'm 1 dollar in debt. I spend another dollar. How much am I in debt?

  37. jim_thompson5910
    • one year ago
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    yes 2 dollars in debt, so -2

  38. jim_thompson5910
    • one year ago
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    similarly, -x-x = -2x

  39. anonymous
    • one year ago
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    Oh okay

  40. jim_thompson5910
    • one year ago
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    IF it was x-x, then yes it would be 0x = 0 but that first x isn't positive

  41. anonymous
    • one year ago
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    I understand that part so now what do i solve?

  42. jim_thompson5910
    • one year ago
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    so you agree that `x-{-x+[-x-x+1]}` becomes `x-{-x+[-2x+1]}`

  43. anonymous
    • one year ago
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    Yes :)

  44. jim_thompson5910
    • one year ago
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    the square brackets aren't doing anything so we can drop them `x-{-x+[-2x+1]}` turns into `x-{-x-2x+1}`

  45. anonymous
    • one year ago
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    Alright

  46. jim_thompson5910
    • one year ago
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    what would -x-2x+1 simplify to?

  47. anonymous
    • one year ago
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    -3x+1 ??

  48. jim_thompson5910
    • one year ago
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    yep

  49. jim_thompson5910
    • one year ago
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    we now have x-{-3x+1}

  50. jim_thompson5910
    • one year ago
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    what's next?

  51. anonymous
    • one year ago
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    Would it be 3x^2 -x ???

  52. jim_thompson5910
    • one year ago
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    maybe think of it as x-1*(-3x+1)

  53. anonymous
    • one year ago
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    Help?

  54. jim_thompson5910
    • one year ago
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    distribute the -1 through. Do you know how?

  55. anonymous
    • one year ago
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    3x-1 ???

  56. jim_thompson5910
    • one year ago
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    |dw:1442456228637:dw|

  57. jim_thompson5910
    • one year ago
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    yes |dw:1442456250110:dw|

  58. jim_thompson5910
    • one year ago
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    x-{-3x+1} turns into x+3x-1

  59. anonymous
    • one year ago
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    So would the answer be 4x-1 ??

  60. jim_thompson5910
    • one year ago
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    yep

  61. anonymous
    • one year ago
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    Omg thank you so much for everything!!!

  62. jim_thompson5910
    • one year ago
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    no problem

  63. anonymous
    • one year ago
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    3x(x-2) -4x^2 = -x^2 -6x right?

  64. jim_thompson5910
    • one year ago
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    correct

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