Find the Constant of Variation 8y-5x=0

$8 y - 5 x = 0$

Step 1

Add $5 x$ to both sides of the equation.

$8 y = 5 x$

Step 2

Divide each term in $8 y = 5 x$ by $8$ and simplify.

Divide each term in $8 y = 5 x$ by $8$ .

$\frac{8 y}{8} = \frac{5 x}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{5 x}{8}$

Divide $y$ by $1$ .

$y = \frac{5 x}{8}$

Step 3

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 $\frac{5}{8}$ .

$\frac{5}{8}$