Find the Domain 3x-6y=0

Problem

3*x−6*y=0

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Solve for y in terms of x to determine if there are any restrictions on the input variable.

3. Subtract 3*x from both sides:

−6*y=−3*x

4. Divide both sides by −6

y=(−3*x)/(−6)

5. Simplify the fraction:

y=1/2*x

6. Analyze the resulting function. Since y=1/2*x is a polynomial (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

7. Determine the domain. The variable x can be any real number.

Final Answer

Domain: *(−∞,∞)

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