Pre-Algebra Examples

$320 = 2 \cdot x \cdot (2 y)$

Step 1

Rewrite the equation as $2 \cdot x \cdot (2 y) = 320$ .

$2 \cdot x \cdot (2 y) = 320$

Step 2

Multiply $2$ by $2$ .

$4 \cdot x \cdot y = 320$

Step 3

Divide each term in $4 \cdot x \cdot y = 320$ by $4 x$ and simplify.

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Step 3.1

Divide each term in $4 \cdot x \cdot y = 320$ by $4 x$ .

$\frac{4 \cdot x \cdot y}{4 x} = \frac{320}{4 x}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 \cdot x \cdot y}{4 x} = \frac{320}{4 x}$

Step 3.2.1.2

Rewrite the expression.

$\frac{x \cdot y}{x} = \frac{320}{4 x}$

Step 3.2.2

Cancel the common factor of $x$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{x \cdot y}{x} = \frac{320}{4 x}$

Step 3.2.2.2

Divide $y$ by $1$ .

$y = \frac{320}{4 x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $320$ and $4$ .

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Step 3.3.1.1

Factor $4$ out of $320$ .

$y = \frac{4 \cdot 80}{4 x}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $4$ out of $4 x$ .

$y = \frac{4 \cdot 80}{4 (x)}$

Step 3.3.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 80}{4 x}$

Step 3.3.1.2.3

Rewrite the expression.

$y = \frac{80}{x}$

Step 4

The given equation $y = \frac{80}{x}$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

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