Find the Domain 5x-4y=20

Problem

5*x−4*y=20

Solution

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

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

−4*y=−5*x+20

3. Divide both sides by −4 to isolate y

y=5/4*x−5

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

5. Determine the constraints. Since there are no denominators containing x and no even roots, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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