anonymous
  • anonymous
prove: when xz= yz then x=y if z is not equal to zero
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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ParthKohli
  • ParthKohli
This uses certain axioms.
ParthKohli
  • ParthKohli
Well... this is itself an axiom.
anonymous
  • anonymous
yes but how to prove

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ParthKohli
  • ParthKohli
Divide both sides by \(\rm z\).
anonymous
  • anonymous
no no i worked like that but it needs another proof
hba
  • hba
You Mean Geometric Proofs ?
anonymous
  • anonymous
@ParthKohli seems right. Dividing both the sides by z is possible only when z is not equal to 0. Cuz, any number divided by 0 is not defined. Do reply if you get another proof.
hba
  • hba
Take z inverse operation xz * z^-1 = yz * z^-1 x = y
hba
  • hba
Well Pk is Right
anonymous
  • anonymous
we can write x/y=z/z so x/y=1 so x=y
anonymous
  • anonymous
ok man i got the proof wanna share with you guyssssss as xz = yz -----> given xz- yz = 0 (x-y)z = 0 as z is not equal to zero-----> given thus x-y=0 => x=y hence proved thanks to all of you. thanks alot for your time
anonymous
  • anonymous
@hba ,@vipul92 ,@akhilnkumar ,@ParthKohli

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