數學~易做(5點)!!!!

2011-02-12 9:26 pm
二元一次方:
用加減消元法:
1. 2x+3y=8
3x-5y=69


2. 4x+3y=10
x-y=1/6

3. 3x+8y=19
10y-7x=-30

4. 9x-y=2y+4x=22

回答 (1)

2011-02-12 11:03 pm
✔ 最佳答案
1)
2x + 3y = 8 ....(1)
3x - 5y = 69 ...(2) (1)*5 + (2)*3 :10x + 9x = 8*5 + 69*3
19x = 247
x = 132(13) + 3y = 8
3y = - 18
y = - 6
2) 4x + 3y = 10 ....(1)
x - y = 1/6 ........(2)(1) + (2)*3 :4x + 3x = 10 + 3/6
7x = 21/2
x = 3/24(3/2) + 3y = 10
3y = 4
y = 4/3
3)3x + 8y = 19 .....(1)
10y - 7x = -30 ...(2)(1)*7 + (2)*3 :56y + 30y = 19*7 - 30*3
86y = 43
y = 23x + 8*2 = 19
3x = 3
x = 1
4) 9x - y = 2y + 4x = 229x - y = 22 .....(1)
4x + 2y = 22 ..(2)(1)*2 + (2) :18x + 4x = 44 + 22
22x = 66
x = 34*3 + 2y = 22
2y = 10
y = 5


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