Is there a relationship between mod6, mod9, and mod3?

[gr3g1]

x=2 (mod6)
x=3 (mod9)

has no solution

How can I prove this?

 

[tiny-tim]

x=2 (mod6)
x=3 (mod9)

has no solution

How can I prove this?

Hi gr3g1!

Hint: what might it be mod3 ?

 

[gr3g1]

Sorry, I don't get it...
What might it be mod3?

 

[gr3g1]

I see that mod9 - mod6 gives mod3

Division of 3 gives an odd number

 

[Dick]

I see that mod9 - mod6 gives mod3

Division of 3 gives an odd number

mod9-mod6=mod3? That's not right. What tiny-tim is suggesting is that if you know x=2 mod 6 then you can figure out what x is mod 3. Ditto for x=3 mod 9.