Find the Domain 5x-y=38

Problem

5*x−y=38

Solution

1. Identify the type of equation. The equation 5*x−y=38 is a linear equation in two variables.

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

y=5*x−38

3. Analyze the resulting function. The expression 5*x−38 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 square roots of negative numbers.

5. Conclude the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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