Expert: Paul Klarreich - 2/8/2011

Question
topic:system of equations
Hello,
I am of the opinion that two equations are equivalent if you can "get" from one to the other by multiplying  and/or adding to both sides.Is it sufficient to prove, that if this is not so for any pair of equations in a system of equations,that the system  is non redundant and in fact consistent ?Thanks.

Answer
Questioner: jon
Country: Gambia
Category: Advanced Math
Private: No
Subject: equivalence of equations
Question: topic:system of equations
Hello,
I am of the opinion that two equations are equivalent if you can "get" from one to the other by multiplying  and/or adding to both sides.Is it sufficient to prove, that if this is not so for any pair of equations in a system of equations,that the system  is non redundant and in fact consistent ?Thanks.
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"I am of the opinion that two equations are equivalent if you can "get" from one to the other by multiplying  and/or adding to both sides."

Your opinion is wrong:  

  adding, OK
  multiplying, NOT OK.

Check the rules again.  Try not to oversimplify -- if there exceptions in a rule, they are there for a reason.

Now, if you have some specific example where you think you may have done the wrong thing, send it along.