Find the Domain 5x-40y=30

Problem

5*x−40*y=30

Solution

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

2. Solve for y in terms of x to determine if there are any restrictions on the input values.

3. Subtract 5*x from both sides:

−40*y=−5*x+30

4. Divide by −40 to isolate y

y=(−5*x+30)/(−40)

5. Simplify the expression:

y=1/8*x−3/4

6. Determine the domain. Since this is a linear function, there are no denominators containing x no square roots of negative numbers, and no logarithms. Therefore, x can be any real number.

Final Answer

Domain:(−∞,∞)

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