Find the Domain 7x+4y=-23

Problem

7*x+4*y=−23

Solution

1. Identify the type of equation. The given equation 7*x+4*y=−23 is a linear equation in two variables.

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

4*y=−7*x−23

y=−7/4*x−23/4

3. Analyze the resulting function. The expression −7/4*x−23/4 is a polynomial of degree 1.

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

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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