Find the Domain 4x-2y=3y-5x

Problem

4*x−2*y=3*y−5*x

Solution

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

2. Isolate the variable y to express it as a function of x

3. Add 2*y to both sides of the equation.

4*x=5*y−5*x

4. Add 5*x to both sides of the equation.

9*x=5*y

5. Divide both sides by 5 to solve for y

y=9/5*x

6. Analyze the resulting function ƒ(x)=9/5*x Since this is a linear polynomial, there are no values of x that cause division by zero or involve the square root of a negative number.

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

Final Answer

Domain: *(−∞,∞)

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