Find the Domain 3x+2y=14

Problem

3*x+2*y=14

Solution

1. Identify the type of equation. The equation 3*x+2*y=14 is a linear equation in two variables.

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

2*y=−3*x+14

3. Divide both sides by 2 to isolate y

y=−3/2*x+7

4. Determine the restrictions on the input variable x Since the expression −3/2*x+7 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.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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