Find the Domain 15x-35=-5y

Problem

15*x−35=−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

15*x−35=−5*y

3. Divide both sides by −5 to isolate y

(15*x)/(−5)−35/(−5)=y

4. Simplify the expression.

−3*x+7=y

5. Determine the domain. Since y=−3*x+7 is a polynomial (specifically a linear function), there are no values of x that would result in division by zero or the square root of a negative number.

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

Final Answer

Domain: *(−∞,∞)

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