Find the Domain 30x+40y=2200

Problem

30*x+40*y=2200

Solution

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

2. Determine the constraints on the variables. In a standard algebraic context without a specific real-world application (such as physical quantities that cannot be negative), a linear function is defined for all real numbers.

3. Solve for y in terms of x to see if there are any values of x that would result in an undefined expression.

40*y=2200−30*x

y=(2200−30*x)/40

y=55−3/4*x

4. Analyze the resulting function. Since y=55−3/4*x is a polynomial of degree 1, there are no denominators that can be zero and no square roots of negative numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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