Find the Constant of Variation 2xy=8

$2 x y = 8$

Divide each term in $2 x y = 8$ by $2 x$ and simplify.

Divide each term in $2 x y = 8$ by $2 x$ .

$\frac{2 x y}{2 x} = \frac{8}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x y}{2 x} = \frac{8}{2 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{8}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{8}{2 x}$

Divide $y$ by $1$ .

$y = \frac{8}{2 x}$

Simplify the right side.

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 4}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$y = \frac{2 \cdot 4}{2 (x)}$

Cancel the common factor.

$y = \frac{2 \cdot 4}{2 x}$

Rewrite the expression.

$y = \frac{4}{x}$

The given equation $y = \frac{4}{x}$ can not be written as $y = k x$ , so $y$ doesn\'t vary directly with $x$ .

$y$ doesn\'t vary directly with $x$