Finite Math Examples

$- x = 1 - y$

Step 1

Rewrite the equation as $1 - y = - x$ .

$1 - y = - x$

Step 2

Subtract $1$ from both sides of the equation.

$- y = - x - 1$

Step 3

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

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

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

Step 3.2.2

Divide $y$ by $1$ .

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

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

Dividing two negative values results in a positive value.

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

Step 3.3.1.2

Divide $x$ by $1$ .

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

Step 3.3.1.3

Divide $- 1$ by $- 1$ .

$y = x + 1$