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

Problem

1/2*x−1/3*y=1

Solution

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

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

3. Analyze the expression for potential restrictions. There are no variables in denominators, no square roots of negative numbers, and no logarithms.

4. Conclude that since the equation is a non-vertical line, x can be any real number.

Final Answer

Domain:(−∞,∞)

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