Find the Domain 2x-3y=-2

Problem

2*x−3*y=−2

Solution

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

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

−3*y=−2*x−2

y=2/3*x+2/3

3. Analyze the resulting function. The expression 2/3*x+2/3 is a polynomial of degree 1.

4. Determine the constraints. Since there are no denominators containing x and no even roots, 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:(−∞,∞)

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