Find the Domain 3y+9x=9

Problem

3*y+9*x=9

Solution

1. Identify the type of equation. The equation 3*y+9*x=9 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Subtract 9*x from both sides.

3*y=−9*x+9

3. Divide every term by 3 to isolate y

y=−3*x+3

4. Determine the domain. Since the resulting function y=−3*x+3 is a polynomial (specifically a linear function), there are no restrictions such as division by zero or square roots of negative numbers.

5. Conclude that the independent variable x can be any real number.

Final Answer

Domain: *(−∞,∞)

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