Find the Domain 6x-8y=12

Problem

6*x−8*y=12

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

3. Conclude that the variable 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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