Find the Domain x/a+y/b=1

Problem

x/a+y/b=1

Solution

1. Identify the type of equation. This is a linear equation in two variables, specifically the intercept form of a line.

2. Analyze the constraints on the variables. In the expression x/a+y/b=1 the variables x and y are in the numerators of the fractions.

3. Determine if there are any values of x that would make the expression undefined. Since x is not in a denominator, under a square root, or inside a logarithm, there are no restrictions on x based on the structure of the equation.

4. Assume that a and b are non-zero constants. For any real number x there exists a corresponding real number y that satisfies the linear relationship.

5. Conclude that the domain, which is the set of all possible input values for x consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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