Finite Math Examples

$a x + b y + c \cdot 1 = 0$

Step 1

Multiply $c$ by $1$ .

$a x + b y + c = 0$

Step 2

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

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Step 2.1

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

$a x + c = - b y$

Step 2.2

Subtract $c$ from both sides of the equation.

$a x = - b y - c$

Step 3

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

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $a$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

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

Step 3.3.1.2

Move the negative in front of the fraction.

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