Answer:
Acids → H₂CO₃ from equilibrium 1 and water, from equilibrium 2.
Bases → Water from equilibrium 1 and ammonia from equilibrium 2.
In 1st equilibrium, H₃O⁺ is the conjugate acid and HCO₃⁻ the conjugate base.
In 2nd equilibrium, NH₄⁺ is the conjugate acid, and OH⁻, the conjugate base.
Explanation:
By the Bronsted-Lowry you know that acids are the one that release protons and base are the ones that catch them.
For the first equilibrium:
H₂CO₃(aq) + H₂O(l) ⇄ H₃O⁺(aq) + HCO₃⁻(aq)
Carbonic acid is the acid → It donates the proton to water, so the water becomes the base. As H₂CO₃ is the acid, the bicarbonate is the conjugate base (it can accept the proton from water to become carbonic acid, again) and the hydronium is the conjugate acid (it would release the proton to become water).
For the second equilibrium:
NH₃(aq) + H₂O(l) ⇄ NH₄⁺ (aq) + OH⁻(aq)
This is the opposite situation → Water relase the proton to ammonia, that's why water is the acid and NH₃, the base (it accepted to become ammonium). The NH₄⁺ is the conjugate acid (it can release the H⁺ to become ammonia) and the OH⁻ is the conjugate base (It can accept the proton to become water, again).