Find the Constant of Variation 7x=-6y

$7 x = - 6 y$

Step 1

Rewrite the equation as $- 6 y = 7 x$ .

$- 6 y = 7 x$

Step 2

Divide each term in $- 6 y = 7 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = 7 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{7 x}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{7 x}{- 6}$

Divide $y$ by $1$ .

$y = \frac{7 x}{- 6}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{7 x}{6}$

Step 3

Since the equation can be written in the form $y = k x$ , $y$ varies directly with $x$ and $k$ . The constant of variation, $k$ , is $- \frac{7}{6}$ .

$- \frac{7}{6}$

Find the Constant of Variation 7x=-6y

Related Questions

Support LCMGCF.com by disabling your adblocker.