Find the Domain x+2y=7

Problem

x+2*y=7

Solution

1. Identify the type of equation. The given equation x+2*y=7 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+7

y=−1/2*x+7/2

3. Analyze the resulting function for any restrictions. Since the expression −1/2*x+7/2 is a polynomial (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

4. Determine the domain. Because the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)

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