Find the Domain 2x+8y=3

Problem

2*x+8*y=3

Solution

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

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

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

8*y=−2*x+3

y=−1/4*x+3/8

4. Analyze the resulting function for any restrictions. Since the expression −1/4*x+3/8 is a polynomial (specifically a linear function), there are no square roots of negative numbers or divisions by zero.

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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