Find the Domain x+2y=6

Problem

x+2*y=6

Solution

1. Identify the type of equation. The equation x+2*y=6 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=−x+6

y=−1/2*x+3

3. Determine any restrictions on the input variable x Since the expression −1/2*x+3 is a polynomial (specifically a linear function), there are no divisions by zero or square roots of negative numbers.

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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