Find the Domain -2x-3y=-7

Problem

−2*x−3*y=−7

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

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

−3*y=2*x−7

y=−2/3*x+7/3

3. Analyze the resulting function. The expression −2/3*x+7/3 is a polynomial of degree 1.

4. Determine the restrictions. Since there are no denominators containing x and no even roots, the input x can be any real number.

5. State the domain in interval notation. The domain of all linear functions (that are not vertical lines) is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!