Linear equations in Two Unknow

2010-05-05 3:33 am
Solve the following simultaneous linear equations graphically
12 . Y=2X+7
X=9-2Y

13 M=3N+12
M+3N+17=0

15 0.4+0.3Y=0.5
2X+6Y=7


我想請問x y 個數係咪亂作都得 或者點定
更新1:

可唔可以講比我聽x=? ,y=? ///

更新2:

有冇其他answer /// 我唔明 ptmsyoy個anbswer

更新3:

唔該可唔可以用Unique solution 我未學method of substitution ..

更新4:

我就係唔明點解書後面有指定MODEL ANSWER ... (即係兩條線交差點有個MODEL ANSWER ...

回答 (4)

2010-05-05 4:54 am
✔ 最佳答案
要solve graphically
好難畫比你.
不過個兩條equations, 每條只需要take 3個點
例如
Y=2X+7 ---(1)
X = 0, Y = 7
X = -1 Y = 5
X = -2 Y = 3
然後mark低呢3個點, draw條直線
同樣地,
X=9-2Y ---(2)
Y = 3, X = 3
Y = 4, X = 1
Y = 5, X = -1
mark低呢3個點, draw條直線
呢兩條直線個交點就係個答案

2010-05-04 20:55:07 補充:
take"任意3個點" 就ok,
不過注意夠唔夠位plot

2010-05-05 16:38:16 補充:
唔一定要跟足model answer plot交點
你只需要畫兩條直線
每條直接既任意(x,y) satisfy到個條直接
個交點就係你個個model answer

2010-05-05 16:38:37 補充:
每條直線satisfy到個條直線** sorry
參考: Knowledge is power.
2010-05-05 11:00 pm
2010-05-05 5:24 am
x y 個數係可以亂作,不過要揀定要亂作X定Y


12 . Y=2X+7


X|-3|-2|-1 ←亂作
Y|1|3 | 5
即係如果 X=-3, Y=2(-3)+7, Y=1


X=9-2Y


X|7|3|5
Y|1|2|3
如上...
咁之後就跟住啲XY plot graph畫兩條直線,交叉點就係答案


13. M=3N+12


M| 3| 6| 9
N|-3|-2|-1


M+3N+17=0


M|1|-2 |-5
N|-6|-5|-4


15. 0.4+0.3Y=0.5 ←打少咗個X???
2X+6Y=7
參考: 自己
2010-05-05 3:50 am
12 . Y=2X+7----(1)
X=9-2Y--------(2)
代(2)入(1),
Y=2X+7
Y=2(9-2Y)+7
Y=18-4Y+7
5Y=25
Y=5
因為Y=5
所以X=9-2Y
X=9-2x5
X=19

13 M=3N+12---------(1)
M+3N+17=0---------(2)
代(1)入(2),
3N+12+3N+17=0
6N+29=0
6N=-29
N=-29/6
因為N=-29/6
所以M=3N+12
M=3(-29/6)+12
M=-14.5+12
M=2.5

15 0.4+0.3Y=0.5-------(1)
2X+6Y=7-------------(2)
0.4+0.3Y=0.5
0.3Y=0.1
Y=1/3
因為Y=1/3
所以2X+6Y=7
2X+6(1/3)=7
2X+2=7
2X=5
X=2.5


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