# Thread: Simplifying Absolute Value Expressions

1. ## 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.

2. Originally Posted by bahama12
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.

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