Find the Domain 12x-24y=48

Problem

12*x−24*y=48

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 x

3. Subtract 12*x from both sides of the equation.

−24*y=−12*x+48

4. Divide every term by −24 to isolate y

y=(−12*x)/(−24)+48/(−24)

5. Simplify the resulting linear function.

y=1/2*x−2

6. Determine the domain. Since the resulting expression is a polynomial (specifically a linear function), there are no values of x that would cause division by zero or result in an undefined real number. Therefore, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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