Find the Constant of Variation -18=3xy

$- 18 = 3 x y$

Step 1

Rewrite the equation as $3 x y = - 18$ .

$3 x y = - 18$

Step 2

Divide each term in $3 x y = - 18$ by $3 x$ and simplify.

Divide each term in $3 x y = - 18$ by $3 x$ .

$\frac{3 x y}{3 x} = \frac{- 18}{3 x}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x y}{3 x} = \frac{- 18}{3 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{- 18}{3 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{- 18}{3 x}$

Divide $y$ by $1$ .

$y = \frac{- 18}{3 x}$

Simplify the right side.

Cancel the common factor of $- 18$ and $3$ .

Factor $3$ out of $- 18$ .

$y = \frac{3 \cdot - 6}{3 x}$

Cancel the common factors.

Factor $3$ out of $3 x$ .

$y = \frac{3 \cdot - 6}{3 (x)}$

Cancel the common factor.

$y = \frac{3 \cdot - 6}{3 x}$

Rewrite the expression.

$y = \frac{- 6}{x}$

Move the negative in front of the fraction.

$y = - \frac{6}{x}$

Step 3

The given equation $y = - \frac{6}{x}$ can not be written as $y = k x$ , so $y$ doesn\'t vary directly with $x$ .

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