Find the Domain 1/3x-1/6y=-2/3

Problem

1/3*x−1/6*y=−2/3

Solution

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

2. Determine the definition of the domain for a function or relation. In the context of a linear equation where y can be expressed as a function of x the domain consists of all possible input values for x

3. Check for restrictions such as division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Observe that the equation 1/3*x−1/6*y=−2/3 contains no such restrictions for any real value of x

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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