Find the Domain 2x+3y-6=0

Problem

2*x+3*y−6=0

Solution

1. Identify the type of equation. The given equation 2*x+3*y−6=0 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Determine if there are any restrictions. In a linear equation of the form A*x+B*y+C=0 there are no square roots of negative numbers, no denominators that could be zero, and no logarithms of non-positive numbers.

3. Analyze the variable x Since x can be any real number without causing the equation to be undefined, the domain consists of all real numbers.

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

Final Answer

Domain:(−∞,∞)

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