x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
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x+y/3+x-y/2=64(x+y)-2(x-y)=40x+y/3+x-y/2=64(x+y)-2(x-y)=40x+y/3+x-y/2=64(x+y)-2(x-y)=40答：(x+y)/3+(x-
x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
答：
(x+y)/3+(x-y)/2=6
4(x+y)-2(x-y)=40
整理得：
2(x+y)+3(x-y)=36
2(x+y)-(x-y)=20
两式相减得：
4(x-y)=16
x-y=4
代入得：2(x+y)-4=20
x+y=12
结合x-y=4解得：
x=8,y=4
(x+y)/3+(x-y)/2=6,①
4（x+y)-2(x-y)=40,②
①*4+②，（16/3)(x+y)=64,x+y=12,③
①*12-②，14(x-y)=32,x-y=16/7.④
(③+④)/2,x=50/7,
(③-④)/2,y=34/7.
∴{x=50/7,
{y=34/7.
希望能解决您的问题。
令x+y=u, x-y=v
所以原方程变为
2u+3v=36
4u-2v=40
解得
u=12
v=4
所以x+y=12
x-y=4
解得x=8, y=4
x,y=8或4
{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1
x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20
{(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20
4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6
（x+y）/2- x-y/2=6 3(x+y)=4(x-y)
x+y/3+x-y/2=6 4(x+y)-2(x-y)=40
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