Find the Domain 6x-7y=8

Problem

6*x−7*y=8

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 express the relation as a function.

7*y=6*x−8

y=(6*x−8)/7

3. Analyze the resulting expression for any restrictions. The expression (6*x−8)/7 is a polynomial (specifically a linear function), which contains no square roots of negative numbers and no variables in the denominator.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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