Finite Math Examples

$A x + b y + c = 0$

Step 1

Move all terms not containing $A$ to the right side of the equation.

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Step 1.1

Subtract $b y$ from both sides of the equation.

$A x + c = - b y$

Step 1.2

Subtract $c$ from both sides of the equation.

$A x = - b y - c$

Step 2

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

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Step 2.1

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

$\frac{A x}{x} = \frac{- b y}{x} + \frac{- c}{x}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $x$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{A x}{x} = \frac{- b y}{x} + \frac{- c}{x}$

Step 2.2.1.2

Divide $A$ by $1$ .

$A = \frac{- b y}{x} + \frac{- c}{x}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$A = - \frac{b y}{x} + \frac{- c}{x}$

Step 2.3.1.2

Move the negative in front of the fraction.

$A = - \frac{b y}{x} - \frac{c}{x}$