Find the Domain 5x+2y=7

Problem

5*x+2*y=7

Solution

1. Identify the type of equation. The equation 5*x+2*y=7 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=−5*x+7

y=−5/2*x+7/2

3. Analyze the resulting function ƒ(x)=−5/2*x+7/2 This is a polynomial function of degree 1.

4. Determine the restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, and no logarithms, x can be any real number.

5. State the domain in interval notation. The domain of any non-vertical linear function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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