This is two or more equations with common variables, also known as a linear system. System Of Equations
Stephen Douglas was responsible for the passage of the Compromise of 1850.
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The articles of confederation was the first type of government we had in the united states. This was their first attempt after breaking away from the British. In the articles of confederation, there was only 1 branch, the executive branch, which they solely relied on because they felt we needed this because the British were lacking it. They designed the articles of confederation to have a weak central government so they wouldn't become oppressive which they had seen from the British. Another thing was that each state only had 1 vote. This wasnt really fair for the larger states, because they have more people to represent. In order to make decisions, they had to get all 13 of the states vote, so it was nearly impossible to amend. Finally, the states all had thier own money systems, and there wasnt a common currency which made it very difficult to trade and travel.
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Keep fighting - advantage: the U.S. army had the upper hand in the war by the time Truman became president, and it was likely that military Japan for defeat would be only a matter of time (even if very costly if both money and lives).
Disadvantage - before considering (and making) the atomic bomb, defeating Japan required a full invasion of the Japanese archipelago, which would have been very costly, because the Japanese, even in face of defeat, would fight fiercely and defend each island. They would not surrender by any means.
Talk to the Japanese - advantage: holding negotiation talks with the Japanese would be less costly for American taxpayers, and result in less American deaths than invading Japan.
Disadvantage - the Japanese did not trust the Americans and viceversa, and the talks could have gone nowhere, allowing Japan to rebuild some forces, and counterattack.
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