Find the Constant of Variation 3y=5-4x

$3 y = 5 - 4 x$

Divide each term in $3 y = 5 - 4 x$ by $3$ and simplify.

Divide each term in $3 y = 5 - 4 x$ by $3$ .

$\frac{3 y}{3} = \frac{5}{3} + \frac{- 4 x}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{5}{3} + \frac{- 4 x}{3}$

Divide $y$ by $1$ .

$y = \frac{5}{3} + \frac{- 4 x}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{5}{3} - \frac{4 x}{3}$

When solving for $y$ , $y = \frac{5}{3} - \frac{4 x}{3}$ , so $y$ doesn\'t vary directly with $x$ .

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