The ionic equation is as below
2Li + (aq) + CO₃²- → Li₂CO₃ (s)
explanation
step 1: write the molecular equation
2 LiNO₃ (aq) + Na₂CO₃ (aq) → Li₂CO₃ (s) +2NaNO₃
Step 2 : break the soluble electrolyte in ions
2 Li⁺ (aq) +2NO₃⁻(aq) + 2Na⁺(aq) + CO₃²⁻ (aq) → Li₂CO₃ + 2Na⁺(aq) +2NO₃⁻(aq)
cancel the spectator ion ( 2Na⁺ and 2No₃⁻)
The ionic equation is therefore
2Li⁺ (aq) + CO₃²⁻(aq) → Li₂CO₃ (s)