SOLUTION: {{{ abs(x - (y - z)) - abs((x - y) - z) = 0 }}} Solve for X I think there is more than one answer on this problem.

Algebra ->  Absolute-value -> SOLUTION: {{{ abs(x - (y - z)) - abs((x - y) - z) = 0 }}} Solve for X I think there is more than one answer on this problem.      Log On


   

Question 54089: +abs%28x+-+%28y+-+z%29%29+-+abs%28%28x+-+y%29+-+z%29+=+0+ Solve for X
I think there is more than one answer on this problem.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
+abs%28x+-+%28y+-+z%29%29+-+abs%28%28x+-+y%29+-+z%29+=+0+
+abs%28x+-+%28y+-+z%29%29+=+abs%28%28x+-+y%29+-+z%29+
+x+-+%28y+-+z%29+=+%28x+-+y%29+-+z+
+x+-+y+%2B+z+=+x+-+y+-+z+
+2z+=+0+ so z+=+0
Since x and y cancel each other out, they can be any real value. On the other hand, z must equal zero.