Find the Domain 2x-3y=-30

Problem

2*x−3*y=−30

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 express the equation as a function.

2*x−3*y=−30

−3*y=−2*x−30

y=2/3*x+10

3. Analyze the resulting function y=ƒ(x) This is a polynomial function of degree 1.

4. Determine if there are any restrictions. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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