1. lillewis51's Avatar
    ive been puzzled over this problem for hours. can any of you help me.

    here it is

    (20/(x-19)) + (-6/(x-18))= 0
    what does x equal? its killing me

    please help
    Last edited by lillewis51; 2009-01-21 at 05:03 AM.
    2009-01-21 04:13 AM
  2. JnC's Avatar
    20/x-19 + -6/x-18 = 0 Ok, I'm assuming what you have written doesn't have any parentheses, else if it's supposed to be 20/(x-19), the result will change.

    First step is to get x on one side of the equals sign, so just add 19 and 18 to both sides... or think of it as moving those numbers to the other side of the equals sign and changing their sign.
    20/x + -6/x = 19 + 18

    20/x + -6/x = 37

    Now, multiply both sides by x. (x/x = 1)
    20 + -6 = 37x

    And you should be home free...
    14 = 37x

    x = 14/37
    2009-01-21 04:46 AM
  3. lillewis51's Avatar
    o yea sorry about that there are supposed to be parentheses.

    so the problem would be.

    (20/(x-19)) + (-6/(x-18))= 0

    thanks for the response though
    Last edited by lillewis51; 2009-01-21 at 05:05 AM. Reason: Automerged Doublepost
    2009-01-21 05:05 AM
  4. cpjr's Avatar
    X = 123/7

    Or...

    X = 17.5714
    2009-01-21 05:17 AM
  5. lillewis51's Avatar
    how'd you get that cpjr?
    2009-01-21 05:21 AM
  6. cpjr's Avatar
    Im good at math.....even better with Google


    QuickMath Automatic Math Solutions
    2009-01-21 05:28 AM
  7. JnC's Avatar
    Ok, so I'll try to walk you thru the steps. That way you can apply them to any problem.

    There's several ways to solve it. The key thing is get the numbers into an easy form to work with. Ultimately you want to get x on one side.

    So try to get into a form where x is not in the denominator. Think of the parentheses as gathering numbers together.

    (20/(x-19)) + (-6/(x-18))= 0

    One solution is to move one group to the other side of the equals... (note the sign change)

    (20/(x-19)) = (6/(x-18))

    Now if I multiply both sides with one of the denominators (for example (x-19)), watch what happens:

    (x-19)*20/(x-19) = (x-19)*6/(x-18)
    20 = (x-19)*6/(x-18)

    Do the same thing with (x-18):

    20*(x-18) = (x-18)(x-19)*6/(x-18)
    20(x-18) = 6(x-19)

    Think of what I did like this: you can make substitutions
    A = (x-19)
    B = (x-18)

    20/A = 6/B

    20AB/A = 6AB/B

    20B = 6A (now substitute back for A & B)

    20(x-18) = 6(x-19)

    So in this form, it's easier to work with:

    20x -20*18 = 6x -6*19

    Now gather x to one side...

    20x - 6x = 20*18 - 6*19

    And extract x:

    x(20 - 6) = 20*18 - 6*19
    x(14) = 20*18 - 6*19
    x = (20*18 - 6*19)/14
    x = 246/14 (if I didn't goof up

    X = 123/7

    Or...

    X = 17.5714
    Correct, but instead of handing out a fish, let's teach fishing.
    Last edited by JnC; 2009-01-21 at 05:33 AM. Reason: Automerged Doublepost
    2009-01-21 05:33 AM
  8. lillewis51's Avatar
    thank you so much i finally get it. thank you
    2009-01-21 05:42 AM
  9. Zwayne's Avatar
    14x-246 = 7x-123
    (x-19)(x-18) (x-19)(x-18)

    My take on the problem.
    2009-01-21 05:49 AM
  10. bhz1's Avatar
    Im good at math.....even better with Google


    QuickMath Automatic Math Solutions
    Google has given me all Ive learned about computers, iPhones and even subjects i havent touched in 30 years in order to help one of the kids with a problem or two. Google is like having the library and every encyclopedia on every topic imaginable at your fingertips. Auto repair, plumbing, electrical, designing a street-luge, and more are things I have done with know-how obtained purely from Googling.
    2009-01-21 08:33 PM
  11. Happy Noodle Boy's Avatar
    My TI-89 confirms the answer posted.

    Seriously, TI-89 is the best thing to have ever happened to me.

    I'm a helpful jerk, fear me.
    2009-01-22 05:30 AM
LINK TO POST COPIED TO CLIPBOARD