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03453660

  • 3 years ago

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

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  1. ParthKohli
    • 3 years ago
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    This uses certain axioms.

  2. ParthKohli
    • 3 years ago
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    Well... this is itself an axiom.

  3. 03453660
    • 3 years ago
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    yes but how to prove

  4. ParthKohli
    • 3 years ago
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    Divide both sides by \(\rm z\).

  5. 03453660
    • 3 years ago
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    no no i worked like that but it needs another proof

  6. hba
    • 3 years ago
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    You Mean Geometric Proofs ?

  7. akhilnkumar
    • 3 years ago
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    @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.

  8. hba
    • 3 years ago
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    Take z inverse operation xz * z^-1 = yz * z^-1 x = y

  9. hba
    • 3 years ago
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    Well Pk is Right

  10. vipul92
    • 3 years ago
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    we can write x/y=z/z so x/y=1 so x=y

  11. 03453660
    • 3 years ago
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    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

  12. 03453660
    • 3 years ago
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    @hba ,@vipul92 ,@akhilnkumar ,@ParthKohli

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