Find the Domain 2x+3y=4

Problem

2*x+3*y=4

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.

3*y=−2*x+4

y=−2/3*x+4/3

3. Analyze the resulting function ƒ(x)=−2/3*x+4/3 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 values, and no logarithms, the variable x can take any real value.

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

Final Answer

Domain: *(−∞,∞)

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