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prove: when xz= yz then x=y if z is not equal to zero

Mathematics
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This uses certain axioms.
Well... this is itself an axiom.
yes but how to prove

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Other answers:

Divide both sides by \(\rm z\).
no no i worked like that but it needs another proof
  • hba
You Mean Geometric Proofs ?
@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
Take z inverse operation xz * z^-1 = yz * z^-1 x = y
  • hba
Well Pk is Right
we can write x/y=z/z so x/y=1 so x=y
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

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