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

Problem

x/2−y/3=1/3

Solution

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

2. Determine the constraints on the variables. In a linear equation of the form A*x+B*y=C there are no square roots of negative numbers, logarithms of non-positive numbers, or variables in denominators.

3. Analyze the domain. Since x can be any real number without causing the expression to be undefined, the domain is the set of all real numbers.

4. Express the domain in interval notation. The set of all real numbers is written as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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