## 03453660 2 years ago prove: when xz= yz then x=y if z is not equal to zero

1. ParthKohli

This uses certain axioms.

2. ParthKohli

Well... this is itself an axiom.

3. 03453660

yes but how to prove

4. ParthKohli

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

5. 03453660

no no i worked like that but it needs another proof

6. hba

You Mean Geometric Proofs ?

7. akhilnkumar

@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

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

9. hba

Well Pk is Right

10. vipul92

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

11. 03453660

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

@hba ,@vipul92 ,@akhilnkumar ,@ParthKohli