Find the Domain P=3x+2y

$P = 3 x + 2 y$

Step 1

Rewrite the equation as $3 x + 2 y = P$ .

$3 x + 2 y = P$

Step 2

Subtract $3 x$ from both sides of the equation.

$2 y = P - 3 x$

Step 3

Divide each term in $2 y = P - 3 x$ by $2$ and simplify.

Divide each term in $2 y = P - 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{P}{2} + \frac{- 3 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{P}{2} + \frac{- 3 x}{2}$

Divide $y$ by $1$ .

$y = \frac{P}{2} + \frac{- 3 x}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{P}{2} - \frac{3 x}{2}$

Step 4

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 P=3x+2y

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