Find the Domain 3x-2y=-24

Problem

3*x−2*y=−24

Solution

1. Identify the type of equation. The equation 3*x−2*y=−24 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form.

−2*y=−3*x−24

3. Divide both sides by −2

y=3/2*x+12

4. Analyze the resulting function. The expression 3/2*x+12 is a polynomial (specifically a linear function).

5. Determine the domain. Since there are no denominators containing x and no square roots of negative values, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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