What did hamilton imply were the weaknesses of the present system of government under the articles of confederation

Let me give you a more complete help here: There were many weak Facts in the articles of confederation and Hamilton saw the next weaknesses: 
- there was only one vote per state, regardless of its size
- No power to regulate commerce or trade between the states, each state could put taxes on trade btwn states
- national government didn't have power to tax. Revenue comes from states
- Couldn't force states to obey its laws and taxation was ignored because they could not be enforced
- No national army or navy
- No national courts
- Each state has own paper money
- There was no president so there were  lacked strength and solid leader
- No power to raise money to pay for action against border encroachments
I hope this can help you better