Nitric oxide (NO) reacts with oxygen (O2) in the air to form nitrogen dioxide (NO2), which is a major air pollutant. This equation can be written as aNO + bO2 −→ cNO2, for some unknown stoichiometric coefficients,

a, b, and

c. By balancing the number of N and O atoms on each side of the equation show that the linear system for the unknown coefficients is a − c = 0, a + 2b − 2c = 0.

Find one solution to this system. How many solutions can you find?