Here's how to write the balanced equation for the reaction between silver nitrate (AgNO₃) and iron(II) sulfate (FeSO₄):

1. Write the unbalanced equation:

AgNO₃ (aq) + FeSO₄ (aq) → Ag₂SO₄ (s) + Fe(NO₃)₂ (aq)

2. Balance the equation:

* Silver (Ag): There are 2 Ag atoms on the right side and only 1 on the left. Add a coefficient of 2 in front of AgNO₃:

2AgNO₃ (aq) + FeSO₄ (aq) → Ag₂SO₄ (s) + Fe(NO₃)₂ (aq)

* Nitrate (NO₃): Now there are 2 nitrate ions on the left and 2 on the right.

* Iron (Fe): There is 1 Fe atom on each side.

* Sulfate (SO₄): There is 1 sulfate ion on each side.

The balanced equation is:

2AgNO₃ (aq) + FeSO₄ (aq) → Ag₂SO₄ (s) + Fe(NO₃)₂ (aq)