Find the Domain 4-2x=5y

Problem

4−2*x=5*y

Solution

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

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

5*y=4−2*x

y=(4−2*x)/5

3. Analyze the resulting function y=ƒ(x) The expression (4−2*x)/5 is a polynomial (specifically a linear function).

4. Determine if there are any restrictions. Polynomials are defined for all real numbers because there are no denominators containing x 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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