Find the Domain x/3-y/8=1

Problem

x/3−y/8=1

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 denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Analyze the variable x Since x is in the numerator and there are no restrictions imposed by the structure of the equation, x can take any real value.

4. Conclude the domain. The domain of a relation or function defined by a linear equation is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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