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]

Answer:

x=2

Step-by-step explanation: