Find the Constant of Variation x=7/y

$x = \frac{7}{y}$

Rewrite the equation as $\frac{7}{y} = x$ .

$\frac{7}{y} = x$

Solve for $y$ .

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Multiply each term by $y$ and simplify.

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Multiply each term in $\frac{7}{y} = x$ by $y$ .

$\frac{7}{y} \cdot y = x \cdot y$

Cancel the common factor of $y$ .

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Cancel the common factor.

$\frac{7}{y} \cdot y = x \cdot y$

Rewrite the expression.

$7 = x \cdot y$

$7 = x y$

Rewrite the equation as $x y = 7$ .

$x y = 7$

Divide each term by $x$ and simplify.

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Divide each term in $x y = 7$ by $x$ .

$\frac{x y}{x} = \frac{7}{x}$

Cancel the common factor of $x$ .

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Cancel the common factor.

$\frac{x y}{x} = \frac{7}{x}$

Divide $y$ by $1$ .

$y = \frac{7}{x}$

The given equation $y = \frac{7}{x}$ 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 x=7/y

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