Find the Domain 8x+3y=22

Problem

8*x+3*y=22

Solution

1. Identify the type of equation. The given equation 8*x+3*y=22 is a linear equation in two variables.

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

3*y=−8*x+22

y=−8/3*x+22/3

3. Analyze the resulting function. The expression −8/3*x+22/3 is a polynomial 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 set of all possible x values is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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