Se tienen 40 billetes de 2000 y 5000 si la suma de dinero que se tiene es 110000 cuantos billetes de cada denominacion hay
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Tenemos:
numero de billetes de 2000 = n₂₀₀₀
numero de billetes de 5000 = n₅₀₀₀
n₂₀₀₀ + n₅₀₀₀ = 40
2000n₂₀₀₀ + 5000n₅₀₀₀ = 110000
2n₂₀₀₀ + 5n₅₀₀₀ = 110
5n₂₀₀₀ + 5n₅₀₀₀ = 5 × 40
5n₂₀₀₀ + 5n₅₀₀₀ = 200
-2n₂₀₀₀ - 5n₅₀₀₀ = -110
----------------------------
3n₂₀₀₀ = 90
n₂₀₀₀ = 30
n₅₀₀₀ = 40 - n₂₀₀₀ = 40 - 30 = 10
n₂₀₀₀ = 30
n₅₀₀₀ = 10