Find the Domain 2x+3y=5

Problem

2*x+3*y=5

Solution

1. Identify the type of equation. The given equation 2*x+3*y=5 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 relation as a function.

3*y=−2*x+5

y=−2/3*x+5/3

3. Analyze the resulting function ƒ(x)=−2/3*x+5/3 This is a polynomial function of degree 1.

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

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!