Find the Domain x-9y=-35

Problem

x−9*y=−35

Solution

1. Identify the type of equation. The equation x−9*y=−35 is a linear equation in two variables.

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

−9*y=−x−35

y=1/9*x+35/9

3. Analyze the resulting function. The expression 1/9*x+35/9 is a polynomial of degree 1.

4. Determine the constraints. 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 x the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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