Find the Domain -3x-18y=15

Problem

−3*x−18*y=15

Solution

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

2. Determine the independent and dependent variables. In a standard function of the form y=ƒ(x) the domain consists of all possible values for the independent variable x

3. Solve for y in terms of x to see if there are any restrictions.

−18*y=3*x+15

y=(3*x+15)/(−18)

y=−1/6*x−5/6

4. Analyze the resulting function. Since y=−1/6*x−5/6 is a polynomial (specifically a linear function), there are no denominators containing x and no square roots of negative values.

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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