Find the Domain 6x+3y=18

Problem

6*x+3*y=18

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=−6*x+18

y=−2*x+6

3. Analyze the resulting function ƒ(x)=−2*x+6 Since this is a polynomial function (specifically a linear function), there are no values of x that would cause division by zero or result in the square root of a negative number.

4. Determine the domain. Because the expression is defined for all real numbers, the domain consists of all real values of x

Final Answer

Domain: *(−∞,∞)

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