Find the Domain 7x+5y=-36

Problem

7*x+5*y=−36

Solution

1. Identify the type of equation. The given equation 7*x+5*y=−36 is a linear equation in two variables.

2. Solve for y in terms of x to express it as a function.

5*y=−7*x−36

y=−7/5*x−36/5

3. Analyze the resulting function y=ƒ(x) This is a polynomial function of degree 1.

4. Determine the restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the function is defined for all real numbers.

5. State the domain in interval notation. The domain is the set of all possible values for x

Final Answer

Domain: *(−∞,∞)

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