Find the Domain 3x+5y=125

Problem

3*x+5*y=125

Solution

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

2. Determine the constraints on the independent variable x In a standard linear function, there are no square roots of negative numbers, no denominators that could be zero, and no logarithms.

3. Solve for y in terms of x to see the functional form.

5*y=−3*x+125

y=−3/5*x+25

4. Conclude that since the expression −3/5*x+25 is defined for all real numbers, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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