Find the Domain 7x+2y=14

Problem

7*x+2*y=14

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.

2*y=−7*x+14

y=−7/2*x+7

3. Analyze the resulting function ƒ(x)=−7/2*x+7 Since this 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. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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