{x+y=50 y+z=40 x+z=60
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{x+y=50y+z=40x+z=60{x+y=50y+z=40x+z=60{x+y=50y+z=40x+z=60x+y=50y+z=40x+z=60三式相加2(x+y+z)=150x+y+z=75分
{x+y=50 y+z=40 x+z=60
{x+y=50 y+z=40 x+z=60
{x+y=50 y+z=40 x+z=60
x+y=50 y+z=40 x+z=60
三式相加
2(x+y+z)=150
x+y+z=75
分别减去原来三式
z=75-50=25
x=75-40=35
y=75-60=15
{x+y=50 y+z=40 x+z=60
三式相加得 2(x+y+z)=150
x+y+z=75
∴z=25
x=35
y=15
x=35,y=15,z=25
y+z=40 ;x+z=60
可知:x-y=20
x+y=50
解得:x=35 y=15 z=25
{x+y=50 (1) y+z=40 (2) x+z=60 (3)
三式相加,2(x+y+z)=150, x+y+z=75 (4)
(4)-(1) ,z=25
(4) -(2) , x=35,
(4)-(3), y=15
x+y=50 (1)
y+z=40 (2)
x+z=60 (3)
(1)-(2)得
x-z=10 (4)
(4)-(3)得
-2z= -50
解得z= 25
将z= 25代入(2)得
y=15
将y=15代入(1)得
x= 35
∴x=35, y=15; z=25
x+y=40 (1) z+x=50 (2) z+y=60 (3) 解:(1)+(2)+(3),得 2x+2y+2z=150 x+y+z=75 (4) (4)-(1),得 z=35 把z=35代入
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