解方程组1/(x-y)-1/(x+y)=3/20,2/(x+y)+3/(x-y)=19/20我给点提示:1/(x-y)-1/(x+y)=3/20 ①2/(x+y)+3/(x-y)=19/20 ②......╮(╯▽╰)╭哎!看来还得问别人了
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解方程组1/(x-y)-1/(x+y)=3/20,2/(x+y)+3/(x-y)=19/20
我给点提示:
1/(x-y)-1/(x+y)=3/20 ①
2/(x+y)+3/(x-y)=19/20 ②
......
╮(╯▽╰)╭哎!看来还得问别人了
1/(x-y)-1/(x+y)=3/20,
2/(x+y)+3/(x-y)=19/20
设:1/(x-y)=a 1/(x+y)=b
a-b=3/20.1
2b+3a=19/20.2
1式*2+2式:
5a=6/20+19/20=25/20
a=5/20=1/4
b=a-3/20=5/20-3/20=2/20=1/10
1/(x-y)=1/4 x-y=4
1/(x+y)=1/10 x+y=10
相加:2x=14 x=7 相减:2y=6 y=3
x=15,y=-5
令x-y=a,
x+y=b
则b-a=3ab/20 1
2a+3b=19ab/20 2
解得:a=4 b=10
所以:x=7,y=3
设1/(x-y)=a 1/(x+y)=b
原方程则为:
b-a=3/20
2a+3b=19/20
解得:a= 1/10
b=1/4
∴1/x+y=1/10 x+y=10
1/x-y=1/4 x-y=4
∴x=7
y=3
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