解方程.x+2.7=122.8×(3.5+x)=214.8x-6.3=68.18.5x-3.9x=55.2(x-18)(x-18)÷4.5=2.40.65×8+0.

发布时间:2020-07-31 11:49:33

解方程. x+2.7=122.8×(3.5+x)=214.8x-6.3=68.18.5x-3.9x=55.2(x-18)(x-18)÷4.5=2.40.65×8+0.8x=20.

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解:(1)x+2.7=12,
???? x+2.7-2.7=12-2.7,
????????????? x=9.3;

(2)2.8×(3.5+x)=21,
???????????9.8+2.8x=21,
???????9.8+2.8x-9.8=21-9.8,
?????????????? 2.8x=11.2,
????????? 2.8x÷2.8=11.2÷2.8,
????????????????? x=4;

(3)4.8x-6.3=68.1,
?4.8x-6.3+6.3=68.1+6.3,
?????????4.8x=74.4,
????4.8x÷4.8=74.4÷4.8,
??????????? x=15.5;

(4)8.5x-3.9x=55.2(x-18),
??????????? ?4.6x=55.2x-993.6,
??????? 4.6x-4.6x=55.2x-993.6-4.6x,
??????50.6x-993.6=0,
50.6x-993.6+993.6=993.6,
??????????? 50.6x=993.6,
????? 50.6x÷50.6=993.6÷50.6,
??????????????? x=19.;

(5)(x-18)÷4.5=2.4,
(x-18)÷4.5×4.5=2.4×4.5,
????????????? x-18=10.8,
?????????? x-18+18=10.8+18,
???????????????? x=28.8;

(6)0.65×8+0.8x=20,
???????? 5.2+0.8x=20,
???? 5.2+0.8x-5.2=20-5.2,
???????????? 0.8x=14.8,
??????? 0.8x÷0.8=14.8÷0.8,
??????????????? x=8.5.

解析分析:(1)根据等式的性质,两边同减去2.7即可;(2)原式变为9.8+2.8x=21,根据等式的性质,两边同减去9.8,再同除以2.8即可;(3)根据等式的性质,两边同加上6.3,再同除以4.8即可;(4)原式变为4.6x=55.2x-993.6,根据等式的性质,两边同减去4.6x,得50.6x-993.6=0,两边同加上993.6,再同除以50.6即可;(5)根据等式的性质,两边同乘,4.5,得x-18=10.8,两边同加上18即可;(6)原式变为5.2+0.8x=20,两边同减去5.2,再同除以0.8即可.

点评:此题考查了运用等式的性质解方程,即等式两边同加上或同减去、同乘上或同除以一个数(0除外),两边仍相等,同时注意“=”上下要对齐.
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