Find the Domain 3x+5y-15=0

Problem

3*x+5*y−15=0

Solution

1. Identify the type of equation provided. The equation 3*x+5*y−15=0 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to determine if there are any restrictions on the input variable.

5*y=−3*x+15

y=−3/5*x+3

3. Analyze the resulting function for restrictions. Since the expression −3/5*x+3 is a polynomial (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

4. Determine the domain. Because the function is defined for all real numbers, the domain consists of all values from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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