Answer:
US President Harry Truman's government found itself at a crossroads. Before the invasion, Korea was not considered important in the influence of the United States Department of Defense. Western military strategists were more concerned with Europe's security against an attack by the Soviet Union. At the same time, Americans were concerned that a war on the Korean peninsula could take on greater proportions if the Chinese or the Soviets decided to intervene militarily in the conflict. Finally, on June 27, the Soviets sent an indirect statement saying that they would not interfere in the war in Korea, thus opening a loophole for Americans to intervene with troops without reaction from the other powers in the communist world.
On June 25, 1950, the United Nations Security Council approved the invasion of North Korea against its southern neighbor. Two days later, Resolution 83 was approved, which authorized military intervention to end the conflict. On the same day, the president of the United States, Harry Truman, authorized the American air force and navy to attack targets on the Korean peninsula to support the south, which was condemned by the Soviet Union. Thus, the command of the American expeditionary force was in charge of General Douglas MacArthur.
Between August and September, North Korean forces were defeated in the battle of Pusan. The American air force then launched attacks on communist forces' supply lines and ammunition depots, inflicting severe losses on them. By the end of 1950, the Allies were already preparing to launch a large-scale counterattack.
By the end of September 1950, the situation of northern communist forces was deteriorating. With few supplies, without air or naval support, the north could no longer remain on the offensive for long. Then to definitively break enemy supply lines and try to divert North Korean attention from the fight in Pusan, General MacArthur ordered a large-scale amphibious attack against the city of Incheon. Communist troops in the region were destroyed and the survivors withdrew in a disorderly manner. At this point, the Russians have advised dictator Kim Il-sung to retreat to protect the southern capital, Seoul. The Chinese have already advised a counterattack in Inchon. However, the North Korean military had already suffered heavy casualties and was unable to continue to resist.
On September 25, Seoul was recaptured by the South Koreans. The American bombings continued to cause severe damage to the communist forces and the North Korean leadership was forced to order the precipitous withdrawal of its troops from the south, to defend the capital Pyongyang. On September 27, Soviet dictator Josef Stalin, the North Koreans 'main ally, criticized the ineffectiveness of northern armies and also blamed his advisers for the Koreans' recent defeats.
Shortly after the victories in the south, MacArthur received authorization from President Truman to launch inroads in the north. On September 29, he declared the government of the Republic of Korea in the south reinstated and put Syngman Rhee back in power. After regaining the south, Rhee's Korean forces began to carry out reprisals against communist sympathizers, massacring at least 600 people.
On September 30, Chinese Prime Minister Zhou Enlai threatened to intervene in the war in favor of the North if the Americans crossed the 38th parallel. Zhou also advised the North Koreans to retreat and fight in guerrilla form, but the council was ignored. In October, communist forces on the parallel border were expelled from their positions and the South Koreans pursued them northward. Confident of victory, MacArthur demanded unconditional surrender from the north, but was refused. The northern capital, Pyongyang, was taken over by UN forces on October 19, 1950. Realizing that the moment of war now belonged to the Allies, General MacArthur believed that the war had to be brought to China. President Truman disagreed and ordered American forces to stop at the Chinese-Korean border
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