Find the Domain 9x+8y=29

Problem

9*x+8*y=29

Solution

1. Identify the type of equation. The equation 9*x+8*y=29 is a linear equation in two variables.

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

8*y=−9*x+29

y=−9/8*x+29/8

3. Analyze the resulting function. The expression −9/8*x+29/8 is a polynomial of degree 1.

4. Determine any restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

5. State the domain in interval notation. Since there are no restrictions on the input x the domain is all real numbers.

Final Answer

Domain=(−∞,∞)

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