How to balance chemical equations using algebraic method?
Here's how you do it.
Assume you must balance the equation
You first write the equation using letter variables for the coefficients:
Then you set up a series of simultaneous equations, one for each element.
Now you solve the five simultaneous equations.
It looks almost impossible, but we know that the coefficients must be integers.
The balanced equation is
Here's a useful equation on balancing equations by the algebraic method.