Find the Domain 4x-5y=-13

Problem

4*x−5*y=−13

Solution

1. Identify the type of equation. The equation 4*x−5*y=−13 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−13

3. Divide both sides by −5 to isolate y

y=4/5*x+13/5

4. Determine the restrictions on the input variable x Since the expression 4/5*x+13/5 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

5. Conclude that the domain includes all real numbers.

Final Answer

Domain: *(−∞,∞)

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