Find the Domain 6x-2y=12

Problem

6*x−2*y=12

Solution

1. Identify the type of equation. The equation 6*x−2*y=12 is a linear equation in two variables.

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

−2*y=−6*x+12

3. Divide both sides by −2

y=3*x−6

4. Determine the domain. Since y=3*x−6 is a polynomial (specifically a linear function), there are no restrictions such as division by zero or square roots of negative numbers.

5. Conclude that the input x can be any real number.

Final Answer

Domain: *(−∞,∞)

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