If |2/x| = y does 1 = |x/2|y ?

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SUMMARY

The equation |2/x| = y leads to the conclusion that 1 = |x/2|y, provided that x is not equal to 0. The transformation of the equation shows that if a = |2/x|, then 1/a equates to |x/2|. This establishes a direct relationship between the variables, confirming the equality under the specified conditions.

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If |2/x| = y does 1 = |x/2|y ?
 
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Yes, as long as a is not 0 (and |2/x| cannot be 0 for any x) a= y is the same as 1= y/a= (1/a)x. Taking a= |2/x|, 1/a= |x/2|.
 

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