Final answer:
When y = 1, the value of x is 2.
Step-by-step explanation:
Given that x varies inversely with y and xy = 2, we can set up the equation for inverse variation as follows:
 
x * y = k
 
where k is the constant of variation.
 
Substituting the given values xy = 2:
 
x * 1 = 2
 
x = 2
 
Therefore, when y = 1, the value of x is 2.