Find the Domain 3x+7y-21=0

Problem

3*x+7*y−21=0

Solution

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

2. Solve for y in terms of x to see if there are any restrictions on the input variable.

7*y=−3*x+21

y=−3/7*x+3

3. Analyze the resulting function for restrictions. Since the expression −3/7*x+3 is a polynomial (specifically a linear function), it is defined for all real numbers. There are no denominators that could be zero and no square roots of negative numbers.

4. Determine the domain. The domain of any linear function that is not a vertical line is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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