Find the Domain 3x-2y=5

Problem

3*x−2*y=5

Solution

1. Identify the type of equation. The given equation 3*x−2*y=5 is a linear equation in two variables.

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

−2*y=−3*x+5

y=3/2*x−5/2

3. Analyze the resulting function. The expression 3/2*x−5/2 is a polynomial of degree 1.

4. Determine the constraints. 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 domain of any linear function (that is not a vertical line) is all real numbers.

Final Answer

Domain:(−∞,∞)

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