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Easy algebra help

  1. Apr 18, 2007 #1
    Easy algebra help!!!

    Show that (x + 3/x - 1) + (4/ 1 - x) simplifies to a constant.


    The answer is 3, but all I can get is 1. It's wracking my brain. ANYONE?????
     
  2. jcsd
  3. Apr 18, 2007 #2
    Do you mean (x+3)/(x-1)+4/(1-x) ? Put in the correct brackets.
     
  4. Apr 18, 2007 #3
    Yes! Sorry I messed up my notation......
     
  5. Apr 18, 2007 #4
    x-1 = -(1-x)
    so (x+3)/(x-1)+4/(1-x)=(x+3)/(x-1)-4/(x-1)
    denominators are equal- so can add numerator
    =(x-1)/(x-1)=1

    So I get the same answer.
     
  6. Apr 18, 2007 #5
    ??????

    The answer book says 3.
     
  7. Apr 18, 2007 #6
    book is wrong.

    (x+3)/(x-1)=-4/(1-x)=4/(x-1) putting 3 in for x,
    6/2=4/2 ????? is right.
     
  8. Apr 19, 2007 #7

    Gib Z

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    Homework Helper

    Yup Book is definitely wrong. Its 1. The question was show that it simplifies to a constant, so either way its alrite.
     
  9. Apr 19, 2007 #8

    danago

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    Gold Member

    For a question like this, you can easily check it with a calculator. Just pick any random value of x, and evaluate.
     
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