Find the Domain 2x+y=6

Problem

2*x+y=6

Solution

1. Identify the type of equation. The equation 2*x+y=6 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x

y=−2*x+6

3. Determine if there are any restrictions on the input variable x Since the expression −2*x+6 is a polynomial, there are no divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

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

Final Answer

Domain: *(−∞,∞)

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