Find the Domain -x+5y=10

Problem

−x+5*y=10

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

5*y=x+10

y=1/5*x+2

3. Analyze the resulting function ƒ(x)=1/5*x+2 A linear function is a polynomial of degree 1.

4. Determine the constraints. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

5. Conclude that the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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