Find the Domain 7x=14-2y

$7 x = 14 - 2 y$

Rewrite the equation as $14 - 2 y = 7 x$ .

$14 - 2 y = 7 x$

Subtract $14$ from both sides of the equation.

$- 2 y = 7 x - 14$

Divide each term in $- 2 y = 7 x - 14$ by $- 2$ and simplify.

Divide each term in $- 2 y = 7 x - 14$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{7 x}{- 2} + \frac{- 14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{7 x}{- 2} + \frac{- 14}{- 2}$

Divide $y$ by $1$ .

$y = \frac{7 x}{- 2} + \frac{- 14}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{7 x}{2} + \frac{- 14}{- 2}$

Divide $- 14$ by $- 2$ .

$y = - \frac{7 x}{2} + 7$

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Find the Domain 7x=14-2y

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