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解一元一次方程时,如果能根据方程自身的特点,灵活运用变形方法和技巧,那么会使方程得到巧解,请看下面的例子.一、巧化系数为1例1解方程-0.125x=3分析注意到0.125×8=1,因此方程两边都乘以-8,即可使x项的系数化为1.解两边都乘以-8,得x=-24.二、巧约公约数例2解方程(55-2x)×20%=40×22.5%分析由于方程两边有公约数20%,应先约去,再计算,这样可简化解题过程.解两边约去20%,得55-2x=45
Solution of a dollar equation, if we can according to the characteristics of the equation, flexible use of deformation methods and techniques, then the equation will be clever solution, see the following example. First, the skill factor of 1 Example 1 solution equation -0.125x = 3 Analysis noted 0.125 × 8 = 1, so both sides of the equation are multiplied by -8, you can make the x item of the coefficient is 1. Solution Both sides are multiplied by -8, x = -24. Example 2 Solution of equation (55-2x) × 20% = 40 × 22.5% Analysis Since there are 20% of the common divisors on both sides of the equation, we should go ahead and calculate again so as to simplify the problem-solving process. 55-2x = 45