Find the Domain 2y-x=6

Problem

2*y−x=6

Solution

1. Identify the type of equation. The equation 2*y−x=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

2*y=x+6

y=1/2*x+3

3. Analyze the expression for restrictions. The expression 1/2*x+3 is a polynomial of degree 1. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

4. Determine the domain. Since any real number can be substituted for x to produce a valid real number for y the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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