Find the Domain 4x+6y=270

Problem

4*x+6*y=270

Solution

1. Identify the type of equation. The equation 4*x+6*y=270 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 standard linear equation where x and y are real numbers, there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Analyze the variable x Since the equation is defined for every real number value of x there are no constraints on the input.

4. State the domain in interval notation. The domain consists of all real numbers, represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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