Find the Domain x-1.5y=-1.6

Problem

x−1.5*y=−1.6

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Determine the context of the domain. In the context of a function where y is dependent on x the domain is the set of all possible input values for x

3. Solve for y to express the equation as a function y=ƒ(x)

x−1.5*y=−1.6

−1.5*y=−x−1.6

y=(−x−1.6)/(−1.5)

y=(x+1.6)/1.5

4. Analyze the resulting function for restrictions. Since y=(x+1.6)/1.5 is a linear function, there are no square roots of negative numbers or divisions by zero involving the variable x

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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