Find the Domain 2x-4y=10

Problem

2*x−4*y=10

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to express the relation as a function.

−4*y=−2*x+10

y=1/2*x−5/2

3. Analyze the resulting function for restrictions. Since the expression 1/2*x−5/2 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

4. Determine the domain. For any linear function of the form y=m*x+b the input x can be any real number.

Final Answer

Domain:(−∞,∞)

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