Find the Domain (3x-y)/2=-1

$\frac{3 x - y}{2} = - 1$

Step 1

Multiply both sides by $2$ .

$\frac{3 x - y}{2} \cdot 2 = - 1 \cdot 2$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{3 x - y}{2} \cdot 2 = - 1 \cdot 2$

Rewrite the expression.

$3 x - y = - 1 \cdot 2$

Simplify the right side.

Multiply $- 1$ by $2$ .

$3 x - y = - 2$

Step 3

Solve for $y$ .

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

$- y = - 2 - 3 x$

Divide each term in $- y = - 2 - 3 x$ by $- 1$ and simplify.

Divide each term in $- y = - 2 - 3 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 2}{- 1} + \frac{- 3 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $- 2$ by $- 1$ .

$y = 2 + \frac{- 3 x}{- 1}$

Move the negative one from the denominator of $\frac{- 3 x}{- 1}$ .

$y = 2 - 1 \cdot (- 3 x)$

Rewrite $- 1 \cdot (- 3 x)$ as $- (- 3 x)$ .

$y = 2 - (- 3 x)$

Multiply $- 3$ by $- 1$ .

$y = 2 + 3 x$

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:

${x | x \in ℝ}$

Step 5

Find the Domain (3x-y)/2=-1

Related Questions

Support LCMGCF.com by disabling your adblocker.