03453660 Group Title prove: when xz= yz then x=y if z is not equal to zero one year ago one year ago

1. ParthKohli Group Title

This uses certain axioms.

2. ParthKohli Group Title

Well... this is itself an axiom.

3. 03453660 Group Title

yes but how to prove

4. ParthKohli Group Title

Divide both sides by $$\rm z$$.

5. 03453660 Group Title

no no i worked like that but it needs another proof

6. hba Group Title

You Mean Geometric Proofs ?

7. akhilnkumar Group Title

@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 Group Title

Take z inverse operation xz * z^-1 = yz * z^-1 x = y

9. hba Group Title

Well Pk is Right

10. vipul92 Group Title

we can write x/y=z/z so x/y=1 so x=y

11. 03453660 Group Title

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 Group Title

@hba ,@vipul92 ,@akhilnkumar ,@ParthKohli