Find the Domain 6x-5y=10

Problem

6*x−5*y=10

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.

6*x−5*y=10

−5*y=−6*x+10

y=6/5*x−2

3. Analyze the resulting function. The expression 6/5*x−2 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 all linear functions (that are not vertical lines) is all real numbers.

Final Answer

Domain: *(−∞,∞)

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