Find the Domain 35x-5y=3.8

Problem

35*x−5*y=3.8

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 express the equation as a function y=ƒ(x)

3. Subtract 35*x from both sides of the equation.

−5*y=−35*x+3.8

4. Divide every term by −5 to isolate y

y=7*x−0.76

5. Analyze the resulting function. Since y=7*x−0.76 is a polynomial (specifically a linear function), there are no values of x that cause division by zero or result in the square root of a negative number.

6. Determine the domain. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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