Find the Domain 6x+5y=120

Problem

6*x+5*y=120

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

3. Solve for y to see the functional form.

5*y=−6*x+120

y=−6/5*x+24

4. Conclude that since the expression −6/5*x+24 is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!