The answer I get for the problem

3 1 4
_____ - ____ = ___
3x-9 x-3 9 is 4/0 which

is undefined. Am I doing something wrong or could this answer be right?

First of all, if you label the School Subject as MATH (for example) a math teacher will read and answer your post.

Sra

The answer I get for the problem

3/3x-9 - 1/x-3 = 4/9 is 4/0 or undefined. Am I doing something wrong or could this answer be right?

3/(3x-9) -1/(x-3) = 4/9

That is equivalent to 0 = 4/9, which is not true.

There is no x that satisfies the equation. In other words, there is no solution

In this case, the answer you obtained is correct. When simplifying the equation, we can start by finding a common denominator for the fractions on both sides of the equation.

The common denominator for 3x - 9 and x - 3 is (3x - 9)(x - 3).

To get the first fraction with the common denominator, we need to multiply the numerator and denominator by (x - 3):

(3/(3x - 9)) * ((x - 3)/(x - 3)) = (3(x - 3))/((3x - 9)(x - 3)) = (3x - 9)/((3x - 9)(x - 3))

To get the second fraction with the common denominator, we need to multiply the numerator and denominator by (3x - 9):

(1/(x - 3)) * ((3x - 9)/(3x - 9)) = (3x - 9)/((3x - 9)(x - 3))

Now, we have the following equation:

(3x - 9)/((3x - 9)(x - 3)) - (3x - 9)/((3x - 9)(x - 3)) = 4/9

Simplifying the equation further, we can combine the numerators of the two fractions on the left side:

[(3x - 9) - (3x - 9)]/((3x - 9)(x - 3)) = 4/9

Simplifying the numerator:

(0)/((3x - 9)(x - 3)) = 4/9

We end up with 0 on the left side, and 4/9 on the right side. This means that 4/0 is undefined.

So, in conclusion, your answer of 4/0 being undefined is correct. There was no error in your calculations.