Find the Domain 3x+2y=12

Problem

3*x+2*y=12

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 relation as a function.

2*y=−3*x+12

y=−3/2*x+6

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

4. Determine if there are any restrictions. Since there are no denominators containing x no square roots of negative numbers, and no logarithms, the input x can be any real number.

5. Conclude that the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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