# Math forum

 Proof of validity of elimination method for systems of equations? Options
lamp23
 #1 Posted : Saturday, March 19, 2011 9:56:19 AM
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Joined: 3/19/2011
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Would the substitution property be required in proving the elimination method for systems of linear equations?

johan
 #2 Posted : Saturday, March 19, 2011 12:48:26 PM

Joined: 1/26/2011
Posts: 22

Hi and welcome to the forum.

No, the substitution property would not always be required in proving the elimination method.

They are simply two different methods of solving systems of linear equations but sometimes it is easier to solve the system when combining the two methods.

I hope this helped you :)

lamp23
 #3 Posted : Sunday, March 20, 2011 2:01:27 AM
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I understand the substitution property is not required in the steps of elimination. I am trying to find out if there are any implicit assumptions lurking behind the steps or setup of the elimination method.

When we set up systems of equations as:
4x + 5y +8z = 2

5x + 4y +9z = 6

are we not implicitly setting the y's equal to each other? Are problems that label equations as y=x^2 and then y=x+4 on the same graph being a little sloppy? It seems like maybe we are not using distinct notation precisely so that an explicit step of setting the y's equal to each other is unnecessary.

 #4 Posted : Saturday, October 29, 2011 9:31:08 AM
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