F2 Maths

2014-12-02 3:18 am
solve the simultaneous equation
2/3(m) -n=(7m-n)/8=1/2


Help me pls

回答 (2)

2014-12-02 4:11 am
✔ 最佳答案
2m/3-n=1/2
4m-6n=3...(i)
(7m-n)/8=1/2
7m-n=4.....(ii)
6(ii)-(i): 38m=20
m=20/38

2014-12-03 18:40:45 補充:
2m/3-n=1/2
4m-6n=3...(i)
(7m+2n)/8=1/2
7m+2n=4...(ii)
(i)+3(ii): 25m=15
m=0.6
Substitute m=0.6 into (i)
4(0.6)-6n=3
6n=-0.6
n=-0.1

2014-12-03 18:43:02 補充:
2m/3-n=1/2
4m-6n=3...(i)
(7m+2n)/8=1/2
7m+2n=4...(ii)
(i)+3(ii): 25m=15
m=0.6
Substitute m=0.6 into (i)
4(0.6)-6n=3
6n=-0.6
n=-0.1

2014-12-03 18:43:04 補充:
2m/3-n=1/2
4m-6n=3...(i)
(7m+2n)/8=1/2
7m+2n=4...(ii)
(i)+3(ii): 25m=15
m=0.6
Substitute m=0.6 into (i)
4(0.6)-6n=3
6n=-0.6
n=-0.1

2014-12-03 18:43:14 補充:
2m/3-n=1/2
4m-6n=3...(i)
(7m+2n)/8=1/2
7m+2n=4...(ii)
(i)+3(ii): 25m=15
m=0.6
Substitute m=0.6 into (i)
4(0.6)-6n=3
6n=-0.6
n=-0.1
2014-12-02 10:25 pm
(2m/3)-n=1/2
n=(2m/3)-1/2...........(1)

(7m-2n)/8=1/2
7m-2n=4
n=(7/2)m-2...................(2)

Substitute (2) into (1)
(2m/3)-1/2=(7/2)m-2
4m/3-1=7m-4
4m-3=21m-12
17m=9
m=9/17

Substitute m=9/17 into (2)
n=-5/34
參考: me


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