Find the Domain 5x-6y=5

Problem

5*x−6*y=5

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*y=5*x−5

y=(5*x−5)/6

3. Analyze the resulting function. The expression (5*x−5)/6 is a polynomial (specifically a linear function), which is defined for all real numbers. There are no square roots of negative numbers or divisions by zero.

4. Determine the domain. Since any real number can be substituted for x to produce a valid real number for y the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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