聯立方程式

2010-04-18 4:19 am
X=800.000+0.1Y
Y=90.000+0.2X

拜託 很急!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
更新1:

X=800000+0.1Y Y=90000+0.2X

回答 (5)

2010-04-18 4:42 am
✔ 最佳答案
X = 800000 + 0.1Y ...... (1)
Y = 90000 + 0.2X ...... (2)

把 (2) 代入 (1):
X = 800000 + 0.1(90000 + 0.2X)
X = 800000 + 9000 + 0.02X)
0.98X = 809000
98X = 80900000
X = 80900000/98
X = 40450000/49 (或 X = 825510)

X = 40450/51 代入 (2) 中:
Y = 90000 + 0.2X
Y = 90000 + 0.2(40450000/49)
Y = (4410000/49) + (8090000/49)
Y = 12500000/49 (或 Y = 255102)
參考: 胡雪八
2010-04-22 7:38 pm
X = 800,000 + 0.1Y……(1)
Y = 90,000 + 0.2X……(2)

將 (1)式 同乘以10,則:
10X = 8,000,000 + Y
Y = 10X – 8,000,000……(1)

將 (2)式 同乘以5,則:
5Y = 450,000 + X
X = 5Y – 450,000……(2)

將 (2)式 代入 (1)式 中,則:
Y = 10 * (5Y – 450,000) – 8,000,000
Y = 50Y – 4,500,000 – 8,000,000
49Y = 12,500,000
Y = 12,500,000/49……代入 (2)式
or
Y = 255,102……代入 (2)式

X = 5 * 12,500,000/49 – 450,000
X = 62,500/49 – 22,050,000/49
X = 40,450,000/49
or
X = 5 * 255,102 – 450,000
X = 1,275,510 – 450,000
X = 825,510
參考: me
2010-04-22 12:10 pm
X=800000+0.1Y ----(1)
Y=90000+0.2X ----(2)

(2)乘以0.1;(1)移向
0.1Y=X-800000
0.1Y=0.02X+9000
二式相減,整理
0.98X=809000

X=40450000/49

再代回(2)以求Y
2010-04-18 4:23 am
我也看不懂!!!!!
2010-04-18 4:21 am
800.000這是8百還是80萬90.000這是90還是9萬


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