Algebra Examples

$x = \frac{1}{8} \cdot y$

Step 1

Rewrite the equation as $\frac{1}{8} y = x$ .

$\frac{1}{8} y = x$

Step 2

Multiply both sides of the equation by $8$ .

$8 (\frac{1}{8} y) = 8 x$

Step 3

Simplify the left side.

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Step 3.1

Simplify $8 (\frac{1}{8} y)$ .

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Step 3.1.1

Combine $\frac{1}{8}$ and $y$ .

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

Step 3.1.2

Cancel the common factor of $8$ .

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Step 3.1.2.1

Cancel the common factor.

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

Step 3.1.2.2

Rewrite the expression.

$y = 8 x$

Step 4

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 $8$ .

$8$