方程2條 (form1)

2006-11-17 2:51 am
Solve the following equations
1. (m+3)/2=-4m
2. s/3=-0.2(1-3s)

回答 (7)

2006-11-17 4:39 am
1. (m+3)/2 = -4m
m+3 = -8m
3=-9m
m = -(1/3)

2. s/3 = -0.2(1-3s)
s/3 = -0.2+0.6s
s = -0.6+1.8s
0.8s = 0.6
s = 3/4

做這類數最要緊是懂得換主項。將主項換在一邊就自然計到答案的。當然要用到乘法分配性質了。
2006-11-17 4:19 am
Q1.
(m+3)/2 = 4m
(m+3) = 4m*2
(m+3) = 8m
3 = 8m-m
3 = 7m

Hence,
m = 3/7


Q2.
s/3 = -0.2(1-3s)
s = -0.2*3*(1-3s)
s = -0.6*(1-3s)
s = -0.6+1.8s
0.6 = 1.8s - s
0.6 = 0.8s

Hence,
s = 0.6/0.8 = 0.75

2006-11-16 20:21:20 補充:
Correction:Q1(m+3)/2 = -4m(m+3) = -4m*2(m+3) = -8m3 = -8m-m3 = -9mHence,m = -1/3 (Correct Answer!!!)
2006-11-17 3:04 am
1. (m+3)/2 = -4m
m+3 = -8m
3=-9m
m = -(1/3)

2. s/3 = -0.2(1-3s)
s/3 = -0.2+0.6s
s = -0.6+1.8s
0.8s = 0.6
s = 3/4
2006-11-17 3:01 am
1. (m+3)/2=-4m
1/2m+3/2=-4m
3/2=-4m-1/2m
m=3/2(-2/9)
m=-1/3


2.s/3=-0.2(1-3s)
1/3s=-0.2+3s
0.2=3s-1/3s
8/3s=0.2
s=3/40
2006-11-17 3:00 am
1. (m+3)/2=-4m
-8m=m+3
9m= -3
m= -1/3

2. s/3=-0.2(1-3s)
s=3( -0.2)(1 -3s)
s= -0.6+1.8s
0.8s= 0.6
s=0.75
2006-11-17 2:59 am
1.m+3/2=-4m
m+3 =(-4m)2
9m =-3
m=-1/3
2.s/3=-0.2(1-3s)
s/3 = 0.2-0.6s
s=0.6-1.8s
2.8s=0.6
s=3/14
2006-11-17 2:58 am
(1)
(m+3)/2=-4m
m+3=-8m
-9m=3
m=-1/3

(2)
s/3=-0.2(1-3s)
s/3=-0.2-0.6s
10s=-6-18s
28s=-6
s=-3/14


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