Find the Domain 3x+4y=-12

Problem

3*x+4*y=−12

Solution

1. Identify the type of equation provided. The equation 3*x+4*y=−12 is a linear equation in two variables.

2. Determine if there are any restrictions 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 input variable x Since the equation represents a straight line that extends infinitely in both directions along the x-axis, x can be any real number.

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

Final Answer

Domain: *(−∞,∞)

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