Find the Domain x+y=1

Problem

x+y=1

Solution

1. Identify the type of equation. The equation x+y=1 represents a linear function in two variables, which can be rewritten in slope-intercept form as y=1−x

2. Determine if there are any restrictions on the input variable x In the expression 1 - x$, there are no denominators that could be zero and no square roots of negative numbers.

3. Conclude the domain. Since the expression is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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