Find the Constant of Variation 7x=6y+5

$7 x = 6 y + 5$

Step 1

Rewrite the equation as $6 y + 5 = 7 x$ .

$6 y + 5 = 7 x$

Step 2

Subtract $5$ from both sides of the equation.

$6 y = 7 x - 5$

Step 3

Divide each term in $6 y = 7 x - 5$ by $6$ and simplify.

Divide each term in $6 y = 7 x - 5$ by $6$ .

$\frac{6 y}{6} = \frac{7 x}{6} + \frac{- 5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{7 x}{6} + \frac{- 5}{6}$

Divide $y$ by $1$ .

$y = \frac{7 x}{6} + \frac{- 5}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{7 x}{6} - \frac{5}{6}$

Step 4

When solving for $y$ , $y = \frac{7 x}{6} - \frac{5}{6}$ , so $y$ doesn\'t vary directly with $x$ .

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