Find the Domain 7x-3y=42

Problem

7*x−3*y=42

Solution

1. Identify the type of equation provided. The equation 7*x−3*y=42 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 express the equation as a function.

3*y=7*x−42

y=7/3*x−14

3. Analyze the resulting function for any restrictions. The expression 7/3*x−14 is a polynomial of degree 1.

4. Determine if there are any values of x that would cause division by zero or result in non-real numbers. Since there are no denominators containing x and no even roots, the function is defined for all real numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!