Respuesta :

[tex]x\propto\frac{1}{y}[/tex]

Therefore,

[tex]xy=k\text{ where k is a constant}[/tex]

Then,

[tex]x_1y_1=x_2y_2[/tex]

In this case,

[tex]x_1=-12,y_1=\frac{3}{2},x_2=2,y_2=\text{?}[/tex][tex]2y_2=-12(\frac{3}{2})=-6\times3=-18[/tex]

this implies that

[tex]\begin{gathered} \frac{2y_2}{2}=\frac{-18}{2} \\ \text{therefore} \\ y_2=-9 \end{gathered}[/tex]

Therefore, when x = 2, y = -9

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