Find the Domain 4x-5y=23

Problem

4*x−5*y=23

Solution

1. Identify the type of equation. The equation 4*x−5*y=23 is a linear equation in two variables.

2. Solve for y in terms of x to express the relation as a function.

−5*y=−4*x+23

y=4/5*x−23/5

3. Analyze the resulting function. The expression 4/5*x−23/5 is a polynomial of degree 1.

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

5. State the domain in interval notation. The domain is all real numbers, represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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