Find the Domain 2x+5y=800

Problem

2*x+5*y=800

Solution

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

2. Determine the context of the variables. In a standard mathematical context without specific constraints (like physical dimensions or quantities that must be positive), x and y can be any real numbers.

3. Solve for y in terms of x to see if there are any restrictions such as division by zero or square roots of negative numbers.

5*y=800−2*x

y=(800−2*x)/5

4. Analyze the resulting function. Since y=160−2/5*x is a polynomial (specifically a linear function), it is defined for all real values of x

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

Final Answer

Domain: *(−∞,∞)

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