Find the Domain -6x-4y=0

Problem

−6*x−4*y=0

Solution

1. Identify the type of equation. The given equation −6*x−4*y=0 is a linear equation in two variables, x and y

2. Determine the variable for which the domain is being sought. In the context of a function y=ƒ(x) the domain is the set of all possible input values for x

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

−4*y=6*x

y=−6/4*x

y=−3/2*x

4. Analyze the resulting expression. The expression −3/2*x is a polynomial (specifically a linear function). Polynomials are defined for all real numbers because there are no denominators containing x that could be zero and no square roots of negative numbers.

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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