Find the Constant of Variation -3x+2y=5

$- 3 x + 2 y = 5$

Step 1

Add $3 x$ to both sides of the equation.

$2 y = 5 + 3 x$

Step 2

Divide each term in $2 y = 5 + 3 x$ by $2$ and simplify.

Divide each term in $2 y = 5 + 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{5}{2} + \frac{3 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{5}{2} + \frac{3 x}{2}$

Divide $y$ by $1$ .

$y = \frac{5}{2} + \frac{3 x}{2}$

Step 3

When solving for $y$ , $y = \frac{5}{2} + \frac{3 x}{2}$ , so $y$ doesn\'t vary directly with $x$ .

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