General Chemistry 1: Balancing Chemical Equations

Balance the following chemical equation
C##_3##H##_8## + O##_2## ##\longrightarrow## CO##_2## + H##_2##O

Balance the following chemical equation,
Al + Fe##_3##N##_2## ##\longrightarrow## AlN + Fe

Balance the following chemical equation using matrices,(NH##_4##)##_3##PO##_4## + Pb(NO##_3##)##_4## ##\longrightarrow## Pb##_3##(PO##_4##)##_4## +NH##_4##NO##_3##