Find the Domain 6x+5y-10=0

Problem

6*x+5*y−10=0

Solution

1. Identify the type of equation. This 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 values.

5*y=−6*x+10

y=−6/5*x+2

3. Analyze the resulting function. Since y is a polynomial (specifically a linear function) of x there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Determine the domain. For any real number x there is a corresponding real number y Therefore, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!