simultaneous equations help?

2008-11-30 12:36 pm
6s+7t=16
4s+5t=13
2=
t=

回答 (5)

2008-11-30 12:50 pm
✔ 最佳答案
6s+7t=16 Let this be #1
4s+5t=13 Let this be #2

#1 x 4
#2 x 6

24s + 28t = 64
24s + 30t = 78

#2-#1

2t = 14
t=7

Sub this into one of the equations

4s+5t=13
4s + 35 =13
4s = -22
s = -11/2
2008-11-30 10:47 pm
- 12s - 14t = - 32
12s + 15t = 39----ADD

t = 7

4s + 35 = 13
4s = - 22
s = - 11 / 2

s = - 11/2 , t = 7
2008-11-30 8:52 pm
s = -5.5
t = 7

msg if you want the working
2008-11-30 8:49 pm
Not quite sure what 2 = and t = are

6s+7t=16
4s+5t=13

12s + 14t = 32
12s + 15t = 39

...
2008-11-30 10:06 pm
6s + 7t = 16 (solve by using elimination)
4s + 5t = 13

6s + 7t = 16
2(6s + 7t) = 2(16)
12s + 14t = 32

4s + 5t = 13
3(4s + 5t) = 3(13)
12s + 15t = 39

...12s + 14t = 32
‒ 12s + 15t = 39 (subtraction)
------------------------------
-t = -7

-t = -7
t = -7/-1
t = 7

6s + 7t = 16
6s + 7(7) = 16
6s + 49 = 16
6s = 16 - 49
6s = -33
s = -33/6
s = -11/2 (-5.5)

∴ s = -11/2 (-5.5) , t = 7


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