Represent the balancing problem as a system of linear

Question

Using the formula: NH₃ + H₂SO₄ → (NH₄)₂SO₄

• Represent the balancing problem as a system of linear equations.
• From a mathematical perspective, how many solutions do you expect the system to have?
• How do you choose a solution?
• Set up the system in matrix form to be solved in MS Excel and solve the system using MS Excel.
• Write the balanced chemical reaction.
• Try and balance the reaction using intuition rather than a mathematical procedure.
• Discuss the benefits and limits of the two approaches (algebraic and intuitive) when balancing equations.