Find the Domain 3x+5y=11

Problem

3*x+5*y=11

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 variable.

5*y=−3*x+11

y=−3/5*x+11/5

3. Analyze the resulting function. The expression −3/5*x+11/5 is a polynomial of degree 1.

4. Determine restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the variable x can take any real value.

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

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!