The balanced reaction will be
2 agno3(aq) + k2co3 (aq) -----> Ag2CO3 (s) + KNO3(aq)
There will be formation of precipitate of silver carbonate
The salt of potassium nitrate will be soluble in water
This must be due to
a) Ksp of silver carbonate is low
b) nitrates of all cations are soluble in water as they have high Ksp
Where:
Ksp is solubility product