Find the Domain 2x-3y=18

Problem

2*x−3*y=18

Solution

1. Identify the type of equation. The equation 2*x−3*y=18 is a linear equation in two variables.

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

−3*y=−2*x+18

y=2/3*x−6

3. Analyze the resulting function. The expression 2/3*x−6 is a polynomial (specifically, a linear function).

4. Determine the restrictions. Polynomials are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

5. State the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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