Find the Domain x/2-y/3=5/6

Problem

x/2−y/3=5/6

Solution

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

2. Determine the constraints on the variable x In a linear equation of the form A*x+B*y=C there are no denominators containing x no square roots of expressions involving x and no logarithms.

3. Conclude that x can take any real number value because the expression is defined for all real inputs.

4. Express the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain:(−∞,∞)

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