解下列方程
(1)1.3÷x=0.52
(2)10.2-5x=2.2
(3)3×1.5+6x=33??????????????????
(4)5.6x-3.8=1.8.
网友回答
解:(1)1.3÷x=0.52,
????? 1.3÷x×x=0.52×x,
??????????? 1.3=0.52x,
??????????0.52x=1.3,
????0.52x÷0.52=1.3÷0.52,
????????????? x=2.5;
(2)10.2-5x=2.2,
? 10.2-5x+5x=2.2+5x,
??????? 10.2=2.2+5x,
??????2.2+5x=10.2,
? 2.2+5x-2.2=10.2-2.2,
????????? 5x=8,
?????? 5x÷5=8÷5,
?????????? x=;
(3)3×1.5+6x=33,
????????4.5+6x=33,
????4.5+6x-4.5=33-4.5,
??????????? 6x=28.5,
???????? 6x÷6=28.5÷6,
???????????? x=4.75;
(4)5.6x-3.8=1.8,
?5.6x-3.8+3.8=1.8+3.8,
???????? 5.6x=5.6,
????5.6x÷5.6=5.6÷5.6,
??????????? x=1.
解析分析:(1)根据等式性质,两边同乘x,得到1.3=0.52x,即0.52x=1.3,再根据等式性质,两边同除以0.52即可;(2)根据等式性质,两边同加上5x,得10.2=2.2+5x,即2.2+5x=10.2,根据等式性质,两边同减去2.2,变为5x=8,两边再同除以5即可;(3)先求出3×1.5的积,原式变为4.5+6x=33,根据等式性质,两边同减去4.5,然后同除以6即可;(4)根据等式性质,两边同加上3.8,原式变为5.6x=5.6,两边再同除以5.6即可.
点评:此题考查了学生解方程的能力,解答时要遵循等式的性质.