兩題代入消元法

2007-02-28 4:08 am
1) 2x -11y +4 =0
3x - 4y +1 =0

2) 8x - 3y +4 = 0
-5x +7y -2有1/2=0

回答 (1)

2007-02-28 4:19 am
✔ 最佳答案
1. 2x - 11y = -4
x =(11y-4)/2 --------------- (1)
3x - 4y = -1 -------------- (2)
sub (1) into (2)
3[(11y-4)/2]-4y = -1
1.5(11y -4 ) = 4y -1
16.5 - 6 = 4y - 1
4y = 11.5
y = 2.875
sub y = 2.875 into (2)
3x - 4 * 2.875 = -1
3x - 11 = -1
3x = 10
x = 3.3333333333333333
Therefore x = 3 . 333 and y = 2.875

2) 8x - 3y = -4 ----------- (1)
7y - 5x = 2有1/2 ------ (2)
(1) * 5
40x - 15y = -20 ------ (3)
(2) * 8
56 y - 40x = 20 ---- (4)
(3)+(4)
40x - 15y + 56y -40x = -20+20
41y = 0
y = 0
sub y = 0 into (1)
8x - 0 = -4
8x = -4
x = - 1/2
參考: me


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