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Find the Domain 3m+4n=-13

Problem

3*m+4*n=−13

Solution

  1. Identify the type of equation. This is a linear equation in two variables, m and n

  2. Determine the independent and dependent variables. In a standard coordinate system, if we treat m as the independent variable (horizontal axis) and n as the dependent variable (vertical axis), the domain refers to all possible values of m

  3. Analyze the constraints. Since this is a linear equation, there are no denominators that could be zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

  4. Conclude the domain. For any real number m there exists a corresponding real number n that satisfies the equation. Therefore, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)


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