Find the Domain x+2y=5

Problem

x+2*y=5

Solution

1. Identify the type of equation. The equation x+2*y=5 represents a linear function, which is a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form.

2*y=−x+5

y=−1/2*x+5/2

3. Analyze the expression for restrictions. In the expression −1/2*x+5/2 there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Determine 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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