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## Main Question or Discussion Point

I am fairly new here so I apologize for any mistakes in my post.

My question concerning solving a system of equations using Gauss-Jordan Elimination is specifically about different ways to handle a possible constant. Say for instance you have three equations:

My question concerning solving a system of equations using Gauss-Jordan Elimination is specifically about different ways to handle a possible constant. Say for instance you have three equations:

*X*_{1}+X_{2}+X_{3}+ 3 = 9

*2X*_{1}+4X_{2}+X_{3}= 13*X*_{1}+2X_{2}+2X_{3}= 11

*N*ow of course you could just subtract 3 from the answer and go from there and that is obviously the simplest and proper way to do it, but I am curious as to if there are other ways. For example, could you perhaps take out the constant of 1, then perform the elimination, then do some sort of operation to get the correct answer?. If all of the equations had the same constant you would be able to take it out and then add/subtract it back into your answer to get the correct value of each variable. This got me to thinking if it would be possible to take all the constants present, divide it by the number of variables, then add/subtract it back into your solved variables to get the correct answer? I think not since the constants are independent to each equation and are not related. Still, I was curious if anyone else has thought about this and if there is any way to solve something like this besides just taking the constant from the sum before performing elimination.**Note:**I am sorry if this post is jumbled, I am just trying to hop into this community and I decided to post on something that I have been thinking on even though it seems kind of trivial. Thanks to everyone in advance for any sort of discussion, I hope to become active in this community as I find many of these topics very interesting.