Find the Constant of Variation 8x+9y=10

$8 x + 9 y = 10$

Step 1

Subtract $8 x$ from both sides of the equation.

$9 y = 10 - 8 x$

Step 2

Divide each term in $9 y = 10 - 8 x$ by $9$ and simplify.

Divide each term in $9 y = 10 - 8 x$ by $9$ .

$\frac{9 y}{9} = \frac{10}{9} + \frac{- 8 x}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{10}{9} + \frac{- 8 x}{9}$

Divide $y$ by $1$ .

$y = \frac{10}{9} + \frac{- 8 x}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{10}{9} - \frac{8 x}{9}$

Step 3

When solving for $y$ , $y = \frac{10}{9} - \frac{8 x}{9}$ , so $y$ doesn\'t vary directly with $x$ .

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