Using the algebraic method on chemical equations that involve OH groups, etc. [ENDORSED]

[KC Navarro_1H]

I have come across equations that involve N3, OH (as a hydroxyl group), and PO4.

Problem H.6, part (d) (not a part of the homework problems) involves PO4:

Ca3(PO4)2 (s) + SiO2 (s) + C (s) -delta-> CaSiO3 (l) + CO (g) + P4 (g)

How would I use the algebraic method on this particular equation? Would I multiply the 2 attached to the PO4 out and then solve algebraically? Or, what would be a simpler method to balance this equation?

[Ellie Tsang 1I]

You would multiply the 2 attached to the PO4 because the algebraic method takes into account the amount of atoms of each element on the reactants and products side.