Find the Domain 600=5x+10y

Problem

600=5*x+10*y

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y which represents a straight line in the Cartesian plane.

2. Determine the constraints on the variables. In a standard linear equation where no context (such as physical dimensions or time) is provided, there are no values of x that would result in an undefined value for y

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

10*y=600−5*x

y=60−0.5*x

4. Conclude the domain. Since ƒ(x)=60−0.5*x is a polynomial (specifically a linear function), it is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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