Find the Domain 2x-y=6

Problem

2*x−y=6

Solution

1. Identify the type of equation. The equation 2*x−y=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 in slope-intercept form.

y=2*x−6

3. Determine the restrictions on the input variable x In a linear function, there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

4. Conclude that the function is defined for all real numbers. The domain is the set of all possible xvalues.

Final Answer

Domain: *(−∞,∞)

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