mathematics thx!!!

2007-08-17 9:27 pm
Linear Equation in One Unknown

1) Slove the equation 1/3 (2m + 1) - 1 = 1 - m.

2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )





thank you very much ~~

回答 (9)

2007-08-17 9:35 pm
✔ 最佳答案
1) 1/3(2m+1)-1=1-m
2/3m=1-m
2/3m+m=1-m+m
5/3m=1
5m/3x3=1x3
5m=3
m=3/5

2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g - 9g - 16 = 14 - 19 - g
-2g - 16 = - 5 - g
-2g -16 + 16 + g= - 5 - g + g + 16
- g = 11
g = - 11

2007-08-17 13:39:21 補充:
1) 1/3(2m+1)-1=1-m2/3m+1/3-1=1-m2/3m-2/3=1-m2/3m-2/3+2/3+m=1-m+m+2/35/3m=5/3m=1唔好意思...上面1)計錯左

2007-08-17 13:44:05 補充:
2) 7g-(9g-16)=14-(19-g)7g-9g+16=14-19+g-2g+16= -5+g-2g+16-16-g= -5+g-g-16-3g= -21 g=7所以正確答案係1)m=12)g=7唔好意思...補充內容嘅答案先至岩...

2007-08-17 13:44:53 補充:
我覆過數啦...一定岩呀
2007-08-18 5:06 am
1)5/3
2)3
參考: myself.
2007-08-17 10:45 pm
1) 1/3 (2m+1) = 1 - m +1
(2m+1) = 3m
1 = 3m - 2m
1 = m

2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g - 9g + 16 = 14 - 19 + g
-2g + 16 = -5 + g
21 = 3g
7 = g
2007-08-17 9:51 pm
Qs: No.1 ------
1/3 (2m + 1) - 1 = 1 - m.
1/3 (2m + 1) - 1 + 1 =1 - m +1
1/3 (2m + 1) =2 - m
1/3 (2m + 1) X 3 = (2 - m) X 3
2m + 1 = 6 - 3m
2m +1 -1 = 6 - 3m - 1
2m = 5 - 3m
2m + 3m = 5 - 3m + 3m
2m + 3m = 5
5m = 5
5m/5 =5/5
m = 1
---------------------------------------------------------------------------
Qs: No.2 ------
7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g - 9g + 16 = 14 - 19 + g
- 2g + 16 = -5 + g
- 2g + 16 + 2g = -5 +g +2g
16 = -5 + 3g
16+5 = -5 + 3g + 5
21 = 3g
3g = 21
3g / 3 = 21 / 3
g = 7
-----------------------------------------------------------------
Of course, these steps are too long, (but I write them so that you can understand it better) thus I have also written a and shorter solution for you:

1) 1/3 (2m + 1) - 1 = 1 - m
1/3 (2m+1) = 2-m
2m+1= 3(2-m)
2m+1= 6-3m
5m=5
m=1

2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g - 9g + 16 = 14- 19 + g
16 - 14 +19 = g - 7g + 9g
21 = 3g
g = 7

----------------------------------------------------------------------------------------------
參考: Me
2007-08-17 9:47 pm
1) 1/3 (2m + 1) - 1 = 1 - m
1/3 (2m + 1) = 1 - m + 1
1/3 (2m + 1) =2 - m
(2m + 1) =6 - 3m
2m + 3m =6 - 1
5m = 5
m = 1

Check: 1/3 (2m + 1) - 1 = 1 - m (m = 1)
1/3 (2x1+1) -1 = 1-1
1/3 (3) -1 = 0
1-1=0
0=0
correct.



2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g - 9g + 16 = 14 - 19 + g
-2g + 16 = -5 + g
-2g - g = -5 - 16
- 3g = -21
g = 7

Check: 7g - ( 9g - 16 ) = 14 - ( 19 - g ) (g = 7)
7( 7 )- (9 ( 7 ) -16) = 14- (19 - 7)
49 - 47 = 14- 12
2 = 2
correct.
參考: myself
2007-08-17 9:44 pm
1)1/3(2m+1)-1=1-m
1/3(2m+1)=2-m
2m+1=6-3m
2m+3m=6-1
5m=5
m=1


2)7g-(9g-16)=14-(19-g)
7g-9g+16=14-19+g
16-2g=g-5
3g=21
g=7
2007-08-17 9:40 pm
1) Slove the equation 1/3 (2m + 1) - 1 = 1 - m.
2m+1-1=3-3m
2m+3m=3
5m=3
m=3/5

2) 7g - ( 9g - 16 ) = 14 - ( 19 - g )
7g-9g+16=14-19+g
-2g+16=-5+g
-2g-g=-5-16
-3g=-21
g=7

2007-08-17 13:46:44 補充:
sorry!!!!!1) 1/3(2m+1)-1=1-m2/3m+1/3-1=1-m2/3m-2/3=1-m2/3m-2/3+2/3+m=1-m+m+2/35/3m=5/3m=1
參考: me
2007-08-17 9:33 pm
1)5/3
2)3
2007-08-17 9:33 pm
question 1)
m=2/5

question 2)
g=7


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