Question is in the Details, Thanks

Yes and no.

Here's the thing with coefficients, generally they have to be in lowest terms. For example, if you have:

8A + 4B = 2C + 6D

This can be reduced to:

4A + 2B = 1C + 3D

The first one isn't wrong, but it's not appropriate.

Next, while it's technically acceptable to have fractions as your coefficient (in some case), it's generally frowned upon, so make sure you multiply the entire equation by some factor that will eliminate the fraction.

Back to your question, if your equation has coefficients that ARE NOT a multiple of another version - as you mentioned seeing one with different coefficients - then either you or the auto-generated equation is wrong.

I showed you above of what's acceptable, whereby both

8A + 4B = 2C + 6D
4A + 2B = 1C + 3D

... mean the same thing, except the coefficients of the first are 2 times more than that of the latter.

Hope this helps

oh okay, that makes more sense, Thanks!