Equilibrium Constants and Balanced Chemical Equations

Consider the reaction in which carbon monoxide gas reacts with oxygen gas to produce carbon dioxide gas:

CO_(g) + ½O_2(g) ⇔ CO_2(g)   with equilibrium constant = K₍₁₎ (at temperature = T)

and this reaction:
2CO_(g) + O_2(g) ⇔ 2CO_2(g)   with equilibrium constant = K₍₂₎ (also at temperature = T)

 Is the value of K₍₁₎ the same as the value of K₍₂₎ ?
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