Finite Math Examples

$y = c x + g$

Step 1

Rewrite the equation as $c x + g = y$ .

$c x + g = y$

Step 2

Subtract $g$ from both sides of the equation.

$c x = y - g$

Step 3

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

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Step 3.1

Divide each term in $c x = y - g$ by $x$ .

$\frac{c x}{x} = \frac{y}{x} + \frac{- g}{x}$

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.

$\frac{c x}{x} = \frac{y}{x} + \frac{- g}{x}$

Step 3.2.1.2

Divide $c$ by $1$ .

$c = \frac{y}{x} + \frac{- g}{x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$c = \frac{y}{x} - \frac{g}{x}$