Find the Domain 5x+3y=-15

Problem

5*x+3*y=−15

Solution

1. Identify the type of equation. The equation 5*x+3*y=−15 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the equation as a function.

3*y=−5*x−15

y=−5/3*x−5

3. Analyze the resulting function ƒ(x)=−5/3*x−5 This is a polynomial function of degree 1.

4. Determine the constraints on the input variable x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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