Find the Domain 10x+4y=40

Problem

10*x+4*y=40

Solution

1. Identify the type of equation. The given equation 10*x+4*y=40 is a linear equation in two variables.

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

4*y=−10*x+40

y=−10/4*x+10

y=−2.5*x+10

3. Analyze the resulting function. Since y=−2.5*x+10 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

4. Determine the domain. For any linear function of the form y=m*x+b the input x can be any real number.

Final Answer

Domain: *(−∞,∞)

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