Respuesta :
Answer: [tex]x=2[/tex]
Step-by-step explanation:
The equation for inverse variation is:
[tex]x=\frac{k}{y}[/tex]
Where "k" is the constant of variation.
If you solve for for the constant "k", you get the form:
[tex]k=xy[/tex]
So, if [tex]xy=2[/tex] then [tex]k=2[/tex]
Knowing the value of "k", you can find the value of "x" when [tex]y=1[/tex], by substituting these values into the equation [tex]x=\frac{k}{y}[/tex].
Therefore, you get that the value of "x" when [tex]y=1[/tex] is:
[tex]x=\frac{2}{1}\\\\x=2[/tex]