C7H16 + O2 CO2 + H2O 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 (see the many resources on internet on solving a system of linear equations using 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. Set up the system in matrix form to be solved in MS Excel (see the many resources on internet on solving a system of linear equations using 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.