Algebra Examples

$5 y = 2 x$

Step 1

Divide each term in $5 y = 2 x$ by $5$ and simplify.

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Step 1.1

Divide each term in $5 y = 2 x$ by $5$ .

$\frac{5 y}{5} = \frac{2 x}{5}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $5$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{2 x}{5}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{2 x}{5}$

Step 2

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 $\frac{2}{5}$ .

$\frac{2}{5}$