Question

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

Answer 1

This uses certain axioms.

Answer 2

Well... this is itself an axiom.

Answer 3

yes but how to prove

Answer 4

Divide both sides by \(\rm z\).

Answer 5

no no i worked like that but it needs another proof

Answer 6

You Mean Geometric Proofs ?

Answer 7

@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.

Answer 8

Take z inverse operation

xz * z^-1 = yz * z^-1

x = y

Answer 9

Well Pk is Right

Answer 10

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

Answer 11

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

Answer 12

@hba ,@vipul92 ,@akhilnkumar ,@ParthKohli