Answer :
The alliance system meant that countries were obliged to help other allies so if one declared war, the others had to do the same. Without the alliance system, WW1 would have been a lot smaller and probably not a world war since fewer countries would become involved.
The reasons of World War 1 was not one but many, hence even if there had not been system of Millitary alliance, World War 1 would have taken place.
World War 1
According to Historians, the Causes of one phenomenon is not because of a single event, history is all about Conjencture. Going by the Question, the direct answer is even if there were no Millitary Alliance, war would have taken place.
To understand why World war 1 would have happened we need to go through the basic factors which led to conflicts between the European nations, these were Colonialism, Imperialism, and the Quest for more power and land.
When there were no Millitary Alliance, European Nations were fighting each other on every habitable continent since 17th century. The Cause of World war was not the Millitary Alliance but the greed for more power and Wealth.
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