Answer:
2KI + Cl₂ → 2KCl + I₂ 
Step-by-step explanation:
The reaction equation is given as: 
 KI + Cl₂ → KCl + I₂ 
The problem at hand is to balance this chemical reaction. To solve this problem we use a mathematical approach; 
 aKI + bCl₂ → cKCl + dI₂ 
 Conserving K : a = c 
 I : a = 2d 
 Cl : 2b = c 
 Now let a = 1, c = 1 , d = 
, b = 
, ; 
 Multiply through by 2; 
 a = 2, b = 1 , c = 2, d = 1
 
 2KI + Cl₂ → 2KCl + I₂