Find the Constant of Variation -3y=-5x

$- 3 y = - 5 x$

Step 1

Divide each term in $- 3 y = - 5 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 5 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 5 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 5 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{5 x}{3}$

Step 2

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 $\frac{5}{3}$ .

$\frac{5}{3}$