a maths question
please help to me to solve the following simultaneous equations:
1. x+2y=-3
-2x-4y=6
2.5x-3y-2=0
15x-9y-4=0
回答 (2)
1
x+2y=-3 _1
-2x-4y=6 _2
_1*2:
2x+4y=-6 _3
since _3+_2=0, therefore no solutions
2
2.5x-3y-2=0 _1
15x-9y-4=0 _2
from _1:
2.5x-3y=2
15x-18y=12 _3
_3-_2:
-9y=12
y=-4/3
sub. y=-4/3 into _2:
15x-9(-4/3)-4=0
15x+12-4=0
15x=-8
x=-8/15
therefore x=-8/15, y=-4/3
2007-07-17 15:23:19 補充:
sorry, both of them have no solutions
2007-07-17 15:23:56 補充:
I should say there are infinity solutions of them
2007-07-17 15:26:10 補充:
You will understand if you draw a graph of those equations.both of each question are the same line with the same slope,no intersection
1.
x+2y=-3---<1 >
-2x-4y=6---<2>
<1> x (-2):
-2x - 4y = 6
hence,there are infinity combinations of (x,y)
2.
5x-3y-2=0----<1>
15x-9y-4=0---<2>
<1> x 3
15x - 9y - 6 = 0---<3 >
comparing <2> and <3>
there has no combination of (x,y) satisfy the given equations.
收錄日期: 2021-04-13 00:48:59
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070717000051KK02457
檢視 Wayback Machine 備份