解方程组8/(x+y) +(x-y)/2=3,6/(x+y)-(x-y)/4=1

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解方程组8/(x+y) +(x-y)/2=3,6/(x+y)-(x-y)/4=1

解方程组8/(x+y) +(x-y)/2=3,6/(x+y)-(x-y)/4=1
解方程组8/(x+y) +(x-y)/2=3,6/(x+y)-(x-y)/4=1

解方程组8/(x+y) +(x-y)/2=3,6/(x+y)-(x-y)/4=1
第二方程乘以2再与第一个方程相加,得:
20/(x+y)=5,即:x+y=4.两x+y=4再代入第一个方程中,得:
(x-y)/2=3-3 得:x-y=2.
这样就得到:x+y=4且x-y=2,解得x=3、y=1

1/(x+y) = 1/4
x-y = 2
x+y = 4, x-y = 2
x = 3, y = 1