Find the Domain 2x+5y=36

Problem

2*x+5*y=36

Solution

1. Identify the type of equation. The given equation 2*x+5*y=36 is a linear equation in two variables.

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

5*y=−2*x+36

y=−2/5*x+36/5

3. Analyze the resulting function ƒ(x)=−2/5*x+36/5 This is a polynomial function of degree 1.

4. Determine the restrictions on the input x Since there are no denominators containing x and no square roots of negative values, 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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