Find the Domain 3x+5y=15

Problem

3*x+5*y=15

Solution

1. Identify the type of equation. The equation 3*x+5*y=15 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Determine the constraints on the independent variable x In a linear function of the form y=m*x+b there are no square roots of negative numbers, no denominators that could be zero, and no logarithms.

3. Solve for y to express the relation as a function of x

5*y=−3*x+15

y=−3/5*x+3

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

Final Answer

Domain: *(−∞,∞)

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