Find the Domain 8x+5y=6

Problem

8*x+5*y=6

Solution

1. Identify the type of equation. The given equation 8*x+5*y=6 is a linear equation in two variables.

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

5*y=−8*x+6

y=−8/5*x+6/5

3. Analyze the resulting function. The expression −8/5*x+6/5 is a polynomial of degree 1.

4. Determine the constraints. 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 input values for x

Final Answer

Domain:(−∞,∞)

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