Find the Domain (2x-y)=-2

Problem

2*x−y=−2

Solution

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

3. Determine the restrictions on the input variable x Since the expression 2*x+2 is a polynomial (specifically a linear function), it is defined for all real numbers.

4. State the domain. There are no square roots of negative numbers, no denominators that could be zero, and no logarithms of non-positive numbers. Therefore, x can be any real number.

Final Answer

Domain: *(−∞,∞)

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