Answer:
![x=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rgwu4x0cp6hdykhfamznd7kqdkp0xgsg9s.png)
Explanation:
The equation for inverse variation is:
![x=(k)/(y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/on8qb4pu9166rur1h8lgx65kzse7j58tpo.png)
Where "k" is the constant of variation.
If you solve for for the constant "k", you get the form:
![k=xy](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rn81lab9xezlg29kwg9kto53vosghub0qy.png)
So, if
then
![k=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lejqpewggl3kub75as9q3md2o3vqda5vl6.png)
Knowing the value of "k", you can find the value of "x" when
, by substituting these values into the equation
.
Therefore, you get that the value of "x" when
is:
![x=(2)/(1)\\\\x=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iyfs3e11ks4lecueq724hy9rse3c067m5d.png)