Find the Domain (-3x-5y)/6=-4

$\frac{- 3 x - 5 y}{6} = - 4$

Step 1

Multiply both sides by $6$ .

$\frac{- 3 x - 5 y}{6} \cdot 6 = - 4 \cdot 6$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{- 3 x - 5 y}{6} \cdot 6 = - 4 \cdot 6$

Rewrite the expression.

$- 3 x - 5 y = - 4 \cdot 6$

Simplify the right side.

Multiply $- 4$ by $6$ .

$- 3 x - 5 y = - 24$

Step 3

Solve for $y$ .

Add $3 x$ to both sides of the equation.

$- 5 y = - 24 + 3 x$

Divide each term in $- 5 y = - 24 + 3 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 24 + 3 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 24}{- 5} + \frac{3 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 24}{- 5} + \frac{3 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 24}{- 5} + \frac{3 x}{- 5}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{24}{5} + \frac{3 x}{- 5}$

Move the negative in front of the fraction.

$y = \frac{24}{5} - \frac{3 x}{5}$

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-5y)/6=-4

Related Questions

Support LCMGCF.com by disabling your adblocker.