Find the Domain 3x+8y=15

Problem

3*x+8*y=15

Solution

1. Identify the type of equation. This 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 determine if there are any restrictions on the input values.

8*y=−3*x+15

y=−3/8*x+15/8

3. Analyze the resulting function. The expression −3/8*x+15/8 is a polynomial of degree 1.

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

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

Final Answer

Domain:(−∞,∞)

Want more problems? Check here!