Finite Math Examples

$- x - 2 y = 12$

Step 1

Add $2 y$ to both sides of the equation.

$- x = 12 + 2 y$

Step 2

Divide each term in $- x = 12 + 2 y$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- x = 12 + 2 y$ by $- 1$ .

$\frac{- x}{- 1} = \frac{12}{- 1} + \frac{2 y}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{12}{- 1} + \frac{2 y}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x = \frac{12}{- 1} + \frac{2 y}{- 1}$

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

Divide $12$ by $- 1$ .

$x = - 12 + \frac{2 y}{- 1}$

Step 2.3.1.2

Move the negative one from the denominator of $\frac{2 y}{- 1}$ .

$x = - 12 - 1 \cdot (2 y)$

Step 2.3.1.3

Rewrite $- 1 \cdot (2 y)$ as $- (2 y)$ .

$x = - 12 - (2 y)$

Step 2.3.1.4

Multiply $2$ by $- 1$ .

$x = - 12 - 2 y$