Find the Domain 2x+3y=9

Problem

2*x+3*y=9

Solution

1. Identify the type of equation. The equation 2*x+3*y=9 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form.

3*y=−2*x+9

y=−2/3*x+3

3. Analyze the expression for restrictions. The resulting function ƒ(x)=−2/3*x+3 is a polynomial of degree 1.

4. Determine the domain. 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=(−∞,∞)

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