Answer:
4C₃H₃N + 3O₂ → 12C + 6H₂O + 2N₂
Step-by-step explanation:
The given reaction equation is expressed as: 
 C₃H₃N + O₂ → C + H₂O + N₂
The problem here entails balancing of the chemical reaction. 
 So; 
 assign letters a,b,c,d and e as coefficients that will balance the expression: 
 
 aC₃H₃N + bO₂ → cC + dH₂O + eN₂
Conserving C : 3a = c 
 H : 3a = 2d 
 N : a = 2e 
 O: 2b = d 
let a = 1, c = 3, e = 
 , d =
 , d = 
 , b =
 , b = 

 Multiply through by 4; 
 a = 4, b = 3, c = 12 , d = 6 and e = 2 
 4C₃H₃N + 3O₂ → 12C + 6H₂O + 2N₂