Find the Domain 7x-4y=-20

Problem

7*x−4*y=−20

Solution

1. Identify the type of equation. The equation 7*x−4*y=−20 is a linear equation in two variables.

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

−4*y=−7*x−20

3. Divide both sides by −4 to isolate y

y=7/4*x+5

4. Determine the domain. Since the resulting expression is a linear polynomial, there are no values of x that would cause division by zero or result in an undefined real number (such as the square root of a negative number).

5. Conclude that the domain includes all real numbers.

Final Answer

Domain: *(−∞,∞)

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