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Discrete math and proof

  1. Sep 3, 2006 #1
    Hi,
    Please can someone help me with this problem.

    show that a,b,c are real numbers and a#0, then there is a unique solution of the equation ax+b=c.

    the uniqueness of the solution is my problem.
    Thank you
    B
     
  2. jcsd
  3. Sep 3, 2006 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    If the uniqueness is the problem, then suppose there were two solutions, x1 and x2. Since they are solutions to that equation, you must have, of course, ax1+ b= c and ax2+ b= c. Subtracting one equation from the other, a(x1- x2)= 0. What does that tell you?
     
  4. Sep 3, 2006 #3


    That's right. we can ay that x1=x2. so unique soltuion
    thanks
     
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