問2題數學題~

2007-02-11 1:08 am
solve the following simultaneous equations

1.2(x-y)-3x=4

3(x-y)+15y=12

2.x/3-2y=3

2x+y=5

要好似e個人咁答

3x - 2y = 2 ...... (1)
x - y / 2 = - 4 ...... (2)
From (2), x = - 4 + y / 2 ...... (3)
Sub. (3) into (1),
3 ( - 4 + y / 2 ) - 2y = 2
- 12 + 3y / 2 - 2y = 2
3y / 2 - 2y = 14
- y / 2 = 14
- y = 28
y = -28
Sub. y = - 28 into (3),
x = - 4 + ( - 28 ) / 2
x = - 4 -14
x = -18
更新1:

sorry第1題打錯 1.2(x+y)-3x=4 3(x-y)+5y=12 x=2,y=3 我要步驟

回答 (2)

2007-02-11 1:29 am
1)
2(x-y)-3x=4---------(1)
3(x-y)+15y=12-------(2)
From(1),
-y=4+x---------------(3)
Sub(3) into (2),
3(x-(4+x))+15(4+x)=12
-6x-12+60+15x=12
9x=-36
x=-4
Sub x=-4 into (3)
-y=4+(-4)
y=0

x=-4,y=0
2007-02-11 1:17 am
3x - 2y = 2 ...... (1)
x - y / 2 = - 4 ...... (2)
From (2), x = - 4 + y / 2 ...... (3)
Sub. (3) into (1),
3 ( - 4 + y / 2 ) - 2y = 2
- 12 + 3y / 2 - 2y = 2
3y / 2 - 2y = 14
- y / 2 = 14
- y = 28
y = -28
Sub. y = - 28 into (3),
x = - 4 + ( - 28 ) / 2
x = - 4 -14
x = -18


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