解:(1)X+
-
=
,
x-
=
,
x-
+
=
+
,
x=
;
(2)8X+2.5-3X=10,
5x+2.5-2.5=10-2.5,
5x=7.5,
5x÷5=7.5÷5,
x=1.5;
(3)(X-0.4)×7=4.2,
(X-0.4)×7÷7=4.2÷7,
x-0.4=0.6,
x-0.4+0.4=0.6+0.4,
x=1;
(4)4y-9=y+12,
4y-9+9=y+12+9,
4y-y=y+21,
3y=21,
3y÷3=21÷3,
y=7;
(5)y÷12÷0.4=2.5,
y÷4.8=2.5,
y÷4.8×4.8=2.5×4.8,
y=12;
(6)y-25=40×2.5,
y-25=100,
y-25+25=100+25,
y=125.
分析:(1)先化簡方程,依據(jù)等式的性質(zhì),方程兩邊同時加
求解,
(2)先化簡方程,依據(jù)等式的性質(zhì),方程兩邊同時減2.5,再同時除以5求解,
(3)依據(jù)等式的性質(zhì),方程兩邊同時除以7,再同時加0.4求解,
(4)依據(jù)等式的性質(zhì),方程兩邊同時加9,再同時減y,最后同時除以3求解,
(5)先化簡方程,再依據(jù)等式性質(zhì),方程兩邊同時乘4.8求解,
(6)先化簡方程,再依據(jù)等式的性質(zhì),方程兩邊同時加25求解.
點評:等式的性質(zhì)是解方程的主要依據(jù),解答時注意對齊等號.