Find the Domain (5x)/6+(3y)/8=-1

Problem

(5*x)/6+(3*y)/8=−1

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Analyze the constraints for the domain. In the context of a function where y depends on x the domain consists of all possible values of the independent variable x

3. Check for operations that restrict the domain, such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Determine that since the equation is a polynomial of degree 1, there are no denominators containing x and no radicals. Therefore, x can be any real number.

5. Conclude that the domain is the set of all real numbers, often expressed in interval notation.

Final Answer

Domain=(−∞,∞)

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