Find the Domain 2.2x+y=12.5

Problem

2.2*x+y=12.5

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Solve for y in terms of x to express it as a function y=ƒ(x)

y=−2.2*x+12.5

3. Analyze the resulting function. The expression −2.2*x+12.5 is a polynomial (specifically a linear function).

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

5. Conclude that the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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