Results 1 to 2 of 2

Math Help - Abstract Math Proof

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    124

    Abstract Math Proof

    Prove that if each of x, y, and z is a number, and neither y nor z is 0, then y*z does not equal 0, and (x*z)/(y*z) = x/y.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,973
    Thanks
    1121
    Quote Originally Posted by noles2188 View Post
    Prove that if each of x, y, and z is a number, and neither y nor z is 0, then y*z does not equal 0, and (x*z)/(y*z) = x/y.
    If z is not 0, then z has a multiplicative inverse, z^{-1}. For the first part, multiply both sides of yz= 0 by z^{-1} to get a contradiction. For the second multiply numerator and denominator of (xz)/(yz) by z^{-1}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Abstract Proof
    Posted in the Calculus Forum
    Replies: 6
    Last Post: April 29th 2010, 03:31 PM
  2. Abstract Math Group
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: March 18th 2009, 02:40 PM
  3. Abstract Math Help if possible
    Posted in the Discrete Math Forum
    Replies: 6
    Last Post: December 12th 2008, 07:56 AM
  4. Abstract Math proof
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: February 5th 2008, 05:27 PM
  5. Help with Intro to Abstract Math Class...
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: March 20th 2006, 02:52 PM

Search Tags


/mathhelpforum @mathhelpforum