Find the Constant of Variation 2x=16/y

$2 x = \frac{16}{y}$

Rewrite the equation as $\frac{16}{y} = 2 x$ .

$\frac{16}{y} = 2 x$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Multiply each term in $\frac{16}{y} = 2 x$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{16}{y} = 2 x$ by $y$ .

$\frac{16}{y} y = 2 x y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{16}{y} y = 2 x y$

Rewrite the expression.

$16 = 2 x y$

Solve the equation.

Rewrite the equation as $2 x y = 16$ .

$2 x y = 16$

Divide each term in $2 x y = 16$ by $2 x$ and simplify.

Divide each term in $2 x y = 16$ by $2 x$ .

$\frac{2 x y}{2 x} = \frac{16}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x y}{2 x} = \frac{16}{2 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{16}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{16}{2 x}$

Divide $y$ by $1$ .

$y = \frac{16}{2 x}$

Simplify the right side.

Cancel the common factor of $16$ and $2$ .

Factor $2$ out of $16$ .

$y = \frac{2 \cdot 8}{2 x}$

Cancel the common factors.

Factor $2$ out of $2 x$ .

$y = \frac{2 \cdot 8}{2 (x)}$

Cancel the common factor.

$y = \frac{2 \cdot 8}{2 x}$

Rewrite the expression.

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

The given equation $y = \frac{8}{x}$ can not be written as $y = k x$ , so $y$ doesn\'t vary directly with $x$ .

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

Find the Constant of Variation 2x=16/y

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