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代入法和加减法是解二元一次方程组的基本方法,其基本思路是通过“代入”或“加减”,消去一个未知数,使二元一次方程组转化为一元一次方程,这些课本上已有详细介绍,这里不再重复.值得一提的是,有不少二元一次方程组,它们的系数之间具有某种特殊的关系,如果你能细心观察,抓住它们的特点,巧妙灵活地确定“消元”的方法,这既能使解题过程简捷、明快,又能使你的思路活跃、开阔.
Substitution and addition and subtraction are the basic methods for solving binary equations. The basic idea is to replace the unknowns by “substituting” or “additions and subtractions” so that the binary equations can be converted into a unitary equation. It has been introduced in detail and is not repeated here. It is worth mentioning that there are many binary equations with a special relationship between their coefficients. If you can observe them carefully and grasp their characteristics, they are ingenious. The method of “eliminating the elimination” is determined flexibly. This can not only make the problem-solving process simple and clear, but also make your ideas lively and open-minded.