Find the Domain 4x-5y=20

Problem

4*x−5*y=20

Solution

1. Identify the type of equation. The equation 4*x−5*y=20 is a linear equation in two variables.

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

−5*y=−4*x+20

y=4/5*x−4

3. Analyze the resulting function. The expression 4/5*x−4 is a polynomial (specifically, a linear function).

4. Determine the restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

5. Conclude the domain. Since there are no values of x that make the expression undefined, the domain is all real numbers.

Final Answer

Domain:(−∞,∞)

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