Finite Math Examples

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

Step 1

Rewrite the equation as $\frac{5}{x} = y$ .

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

Step 2

Find the LCD of the terms in the equation.

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Step 2.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

Step 2.2

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{5}{x} = y$ by $x$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{5}{x} = y$ by $x$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $x$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Rewrite the expression.

$5 = y x$

Step 4

Solve the equation.

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Step 4.1

Rewrite the equation as $y x = 5$ .

$y x = 5$

Step 4.2

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

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Step 4.2.1

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

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

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $y$ .

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Step 4.2.2.1.1

Cancel the common factor.

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

Step 4.2.2.1.2

Divide $x$ by $1$ .

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