Find the Domain -5x-15y=30

Problem

−5*x−15*y=30

Solution

1. Identify the type of equation. The equation −5*x−15*y=30 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x

−15*y=5*x+30

3. Divide both sides by −15 to isolate y

y=(5*x+30)/(−15)

4. Simplify the expression.

y=−1/3*x−2

5. 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 involve the square root of a negative number. Therefore, x can be any real number.

Final Answer

Domain: *(−∞,∞)

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