Find the Constant of Variation -14=2xy

$- 14 = 2 x y$

Step 1

Rewrite the equation as $2 x y = - 14$ .

$2 x y = - 14$

Step 2

Divide each term in $2 x y = - 14$ by $2 x$ and simplify.

Divide each term in $2 x y = - 14$ by $2 x$ .

$\frac{2 x y}{2 x} = \frac{- 14}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x y}{2 x} = \frac{- 14}{2 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{- 14}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{- 14}{2 x}$

Divide $y$ by $1$ .

$y = \frac{- 14}{2 x}$

Simplify the right side.

Cancel the common factor of $- 14$ and $2$ .

Factor $2$ out of $- 14$ .

$y = \frac{2 \cdot - 7}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$y = \frac{2 \cdot - 7}{2 (x)}$

Cancel the common factor.

$y = \frac{2 \cdot - 7}{2 x}$

Rewrite the expression.

$y = \frac{- 7}{x}$

Move the negative in front of the fraction.

$y = - \frac{7}{x}$

Step 3

The given equation $y = - \frac{7}{x}$ can not be written as $y = k x$ , so $y$ doesn\'t vary directly with $x$ .

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