# How do you write inverse variation equations given y = 9 when x = 3?

The inverse variation equation is $x = 27 \cdot \frac{1}{y} \mathmr{and} x \cdot y = 27$
$x \propto \frac{1}{y} \mathmr{and} x = k \cdot \frac{1}{y} \mathmr{and} x \cdot y = k$, k is constant of proportionality  x =3 ; y=9 :. k=3*9=27. Hence the inverse variation equation is $x = 27 \cdot \frac{1}{y} \mathmr{and} x \cdot y = 27$[Ans]