Find the Domain 2x-4y=7

Problem

2*x−4*y=7

Solution

1. Identify the type of equation. The given equation 2*x−4*y=7 is a linear equation in two variables.

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

−4*y=−2*x+7

3. Divide both sides by −4 to isolate y

y=(−2*x+7)/(−4)

4. Simplify the expression.

y=1/2*x−7/4

5. Determine the domain. Since the resulting function is a linear polynomial, there are no values of x that result in division by zero or the square root of a negative number.

6. Conclude that the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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