Find the Domain 2x-6y=5

Problem

2*x−6*y=5

Solution

1. Identify the type of equation. The given equation 2*x−6*y=5 is a linear equation in two variables.

2. Solve for y to express the equation as a function of x

−6*y=−2*x+5

y=(−2*x+5)/(−6)

y=1/3*x−5/6

3. Analyze the resulting function. The expression 1/3*x−5/6 is a polynomial of degree 1.

4. Determine the constraints. Since there are no square roots of negative numbers and no denominators that can equal zero for any real x the function is defined for all real numbers.

5. State the domain in interval notation. The domain of any linear function (that is not a vertical line) is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!