聯立方程 代入消元方(請盡快回答)

2015-01-15 4:33 am
用代入消元方解聯立方程,要步驟和答案
1.x=4y+2.....1
x+2y=8.......2
2.x-y=1.....1
x+2y=4.....2

回答 (2)

2015-01-15 4:48 am
✔ 最佳答案

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1.
{ x = 4y + 2 .....①
{ x + 2y = 8 .......②

把 ① 代入 ②:
(4y + 2) + 2y = 8
6y + 2 = 8
6y = 6
y = 1

代入 ①:
x = 4(1) + 2 = 6


{ x = 6
{ y = 1

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2.
{ x - y = 1 .....①
{ x + 2y = 4 .....②

從 ① 可知
x = y + 1 ...... ③

把 ③ 代入 ②:
(y + 1) + 2y = 4
3y + 1 = 4
3y = 3
y = 1

代入 ③:
x = 1 + 1 = 2


{ x = 2
{ y = 1



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2015-01-16 3:05 am
1.x=4y+2.....1
x+2y=8.......2
Sub(1)into(2)
4y+2+2y=8
6y=6
y=1
Sub y=1 into (1)
x=4(1)+2
x=6
So, x=6 and y=1

2.x-y=1.....1
x+2y=4.....2
From(1),
x=y+1.....3
Sub(3)into(2)
y+1+2y=4
3y=3
y=1
Sub y=1 into(1)
x-1=1
x=2
So, x=2 and y=1


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