Find the Domain 5x-2y=33

Problem

5*x−2*y=33

Solution

1. Identify the type of equation. The equation 5*x−2*y=33 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

−2*y=−5*x+33

y=5/2*x−33/2

3. Analyze the resulting function. The expression 5/2*x−33/2 is a polynomial of degree 1.

4. Determine the constraints. Since there are no square roots of negative numbers, no denominators that could equal zero, and no logarithms, the variable x can take any real number value.

5. State the domain in interval notation. The set of all possible input values for x is all real numbers.

Final Answer

Domain: *(−∞,∞)

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