Pre-Algebra Examples

$x y = - 12$

Step 1

Divide each term in $x y = - 12$ by $x$ and simplify.

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Step 1.1

Divide each term in $x y = - 12$ by $x$ .

$\frac{x y}{x} = \frac{- 12}{x}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $x$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{x y}{x} = \frac{- 12}{x}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 12}{x}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Move the negative in front of the fraction.

$y = - \frac{12}{x}$

Step 2

The given equation $y = - \frac{12}{x}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

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