Find the Domain 2x-y=8

Problem

2*x−y=8

Solution

1. Identify the type of equation. The equation 2*x−y=8 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

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

y=2*x−8

3. Analyze the function for restrictions. In the expression 2*x−8 there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

4. Determine the domain. Since any real number x can be substituted into the equation to produce a valid real number y the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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