解方程组 1.3(x+y)-4(x-y)=4,x+y/2 + x-y/6 =1 2.5x+4y+z=0,3x+y-4z=11,x+y+z=-2

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解方程组 1.3(x+y)-4(x-y)=4,x+y/2 + x-y/6 =1 2.5x+4y+z=0,3x+y-4z=11,x+y+z=-2
解方程组 1.3(x+y)-4(x-y)=4,x+y/2 + x-y/6 =1 2.5x+4y+z=0,3x+y-4z=11,x+y+z=-2

解方程组 1.3(x+y)-4(x-y)=4,x+y/2 + x-y/6 =1 2.5x+4y+z=0,3x+y-4z=11,x+y+z=-2
1.3(x+y)-4(x-y)=4,(1)
x+y/2 + x-y/6 =1 (2)
由(1),得:x=7y-4,代入(2),得
14y-y/3=9,y=27/41,x=25/41
2.5x+4y+z=0,(1)
3x+y-4z=11,(2)
x+y+z=-2 (3)
4(1)+(2):
23x+17y=11 (4)
(1)-(3):
4x+3y=2 (5)
3(4)-17(5):x=-1
由(5),y=2
由(3),z=-3