解方程或比例
2.1Ⅹ+7.9Ⅹ=0.29
(3+3Ⅹ)×0.5=2
:0.5=1:Ⅹ
=.
网友回答
解:(1)2.1Ⅹ+7.9Ⅹ=0.29,
??????? (2.1+7.9)X=0.29,
???????????????? 10X=0.29,
???????????? 10X÷10=0.29÷10,
?????????????????? X=0.029;
(2)(3+3Ⅹ)×0.5=2,
(3+3Ⅹ)×0.5÷0.5=2÷0.5,
????????????? 3+3Ⅹ=4,
????????? 3+3Ⅹ-3=4-3,
??????????????????3Ⅹ=,
?????????????? 3Ⅹ÷3=÷3,
??????????????????? X=,
??????????????????? X=;
(3):0.5=1:Ⅹ,
?? 0.25:0.5=1.4:X,
?????? 0.25X=0.5×1.4,
???????0.25X=0.7,
?0.25X÷0.25=0.7÷0.25,
?????????? X=2.8;
(4)=,
????? 1.23x=0.75×2,
??????1.23x=1.5,
1.23x÷1.23=1.5÷1.23,
????????? x=.
解析分析:(1)运用乘法分配律的逆运算,把原式变为(2.1+7.9)X=0.29,即10X=0.29,再根据等式的性质,两边同除以10即可;(2)根据等式的性质,两边同除以0.5,得3+3Ⅹ=4,两边同减去3,再同除以3即可;(3)先把分数化为小数,原式为0.25:0.5=1.4:X,根据比例的性质改写成0.25X=0.5×1.4,再根据等式的性质,两边同除以0.25即可;(4)先根据比例的性质改写成1.23x=0.75×2,再根据等式的性质,两边同除以1.23即可.
点评:此题考查了根据等式的性质解方程,即等式两边同加、同减、同乘或同除以一个数(0除外),等式的左右两边仍相等;注意“=”号上下要对齐.