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Math Help - Simplifying Absolute Value Expressions

  1. #1
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    Simplifying Absolute Value Expressions

    I think I get the concept of the whole thing at least for the easy ones. When it comes to ones like:

    If x+y=x where x,y and z are postive, simplify 2{x-z} + {z-x}

    I get entirely lost. Can anyone help me with this and break it down step by step so that I can understand??
    Thank you and I want you to know that your help is greatly apreciated.
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  2. #2
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    Quote Originally Posted by bahama12 View Post
    I think I get the concept of the whole thing at least for the easy ones. When it comes to ones like:

    If x+y=x where x,y and z are postive, simplify 2{x-z} + {z-x}

    I get entirely lost. Can anyone help me with this and break it down step by step so that I can understand??
    Thank you and I want you to know that your help is greatly apreciated.
    First, since you titled this "Simplifying Absolute Value Expressions", do you mean "2|x- z|+ |z- x|"?

    Second, are you sure you have copied the problem correctly? You say "if x+ y= x" but if that were true, then obviously, subtracting x from both sides, y= 0 which is impossible "where x, y and z are positive".

    And, in any case, there is NO "y" in 2|x- z|- |z-x|. The crucial point is that x- z= -(z- x) so that |x- z|= |z- x|.

    2a- a= a.
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  3. #3
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    Thanks for pointing out the mistake in the question its actually x+y=z. Would I still solve it in the same way?
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