Find the Domain -11x+9y=12

Problem

−11*x+9*y=12

Solution

1. Identify the type of equation. The given equation −11*x+9*y=12 is a linear equation in two variables.

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

9*y=11*x+12

y=(11*x+12)/9

3. Analyze the resulting function ƒ(x)=11/9*x+12/9 This is a polynomial function of degree 1.

4. Determine any restrictions on the input x Since there are no denominators containing x and no even roots, the function is defined for all real numbers.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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