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有一类三元一次方程组,若将各个方程相加,所得方程的左端是一个轮换式。下面举列说明其解法技巧. 问题:一群小鸡、小鸭和小鹅在山下吃虫时分成了三处,第一处小鸡和小鸭共41只:第二处小鸭和小鹅共40只:第三处小鹅和小鸡共9只。问山下有小鸡、小鸭和小鹅各多少只? 解:设山下有小鸡、小鸭和小鹅各为x只、y只和z只,依题意可得方程组:
There is a class of ternary equations. If the equations are added together, the left end of the resulting equation is a rotation. Below is a list of its solution techniques. Problem: A group of chickens, ducklings, and goslings are divided into three when eating worms in the mountains. There are 41 chickens and ducklings in the first place: the second duckling and gosling 40: 9 third goslings and chickens. Asked how many chickens, ducklings, and goslings there are under the mountain? Solution: There are chickens, ducklings and goslings under the mountain for x, y and z only. According to the question, you can get the equation: