Answer:
a = 6, b = 6, c = 1 and d = 6
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
Explanation:
a CO₂ + b H₂O → c C₆H₁₂O₆ + d O₂
In the balance for Carbon (C)
a = 6c
In the balance for Oxygen (O)
2a + b = 6c + 2d
In the balance for Hydrogen (H)
2b = 12 c
b = 6c
To solve, we bring the equations together
a = 6c (eqn 1)
2a + b = 6c + 2d (eqn 2)
b = 6c (eqn 3)
Substituting for b and a in (eqn 2)
2a + b = 6c + 2d
2(6c) + 6c = 6c + 2d
12c + 6c = 6c + 2d
2d = 12c
d = 6c
Let c = 1
a = 6c = 6
b = 6c = 6
d = 6c = 6
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂