Find the Domain 7x-4y=-3

Problem

7*x−4*y=−3

Solution

1. Identify the type of equation. The equation 7*x−4*y=−3 is a linear equation in two variables.

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

−4*y=−7*x−3

3. Divide both sides by −4 to isolate y

y=7/4*x+3/4

4. Analyze the resulting function. This is a linear function, which is a type of polynomial function.

5. Determine the domain. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no square roots of negative numbers.

6. Express the domain in interval notation. Since x can be any real number, the domain is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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