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| Adding option **MaxExtraConditions -> All** to **Solve** helps: Solve[Rationalize[ yCO == (0.015 a + 0.05 b)/(a + b + c) && yCO2 == (0.07*a)/(a + b + c) && yN2 == 1 - yCO - yCO2, 0], {a, b, c}, MaxExtraConditions ->... |