Consider the chemical reaction

x$1$C$6$H$12$O$6->$ x$2$CO$2+$ x$3$C$2$H$5$OH

Balance the above reaction by determining the coefficients xi$,$ i $=1,2,3.$

Mass balancing leads to a system of equations. From this system, form the augmented

matrix, obtain its reduced row echelon form and determine the numbers xi