1.x-y=5(1)
x+z=-7(2)
y-z=-8(3)
(2)式+(3)式得:x+y=-15(4)
(1)式+(4)式得:2X=-10解得x=-5
y=-10
z=-2
2.3x+2y+5z=2(1)
x-2y-z=6(2)
4x+2y-7z=30(3)
(1)式+(2)式得:4X+4Z=8(5)
(2)式+(3)式得:5X-8Z=36(6)
2(5)式+(6)式得:13X=52解得x=4
z=-2
y=0
3.2x+y=3(1)
3x-y+z=8(2)
x+2y+3z=3(3)
3(2)式-(3)式得:8X-5Y=21(4)
5(1)式+(4)式得:18X=36
解得X=2
Y=-1
z=1
4.x+y=13(1)
y+z=11(2)
z+x=12(3)
(2)式-(3)式得:y-X=-1(4)
(1)式+(4)式得:2y=12
解得y=6
x=7
Z=5
5.5x-3y+z=2(1)
5x+2y-4z=3(2)
-5x+y-z=2(3)
(1)式+(3)式得:-2y=4
y=-2
z=-11/5
X=-9/25
6.x+y=-2(1)
x+z=13(2)
y+z=1(3)
(1)式-(2)式得:y-Z=-15(4)
(4)式+(3)式得:2y=-14
解得y=-7
z=8
X=5
7.x-y-z=-1(1)
3x+5y+7z=11(2)
4x-y+2z=-1(3)
3(1)式-(2)式得:-8y-10Z=-14即4y+5Z=7(4)
4(1)式-(3)式得:-3y-6Z=-3即y+2Z=1(5)
(4)式-4(5)式得:-3Z=3
解得z=-1
y=3
x=1
8.2x+3y-z=11(1)
2x+y=7z(2)
2y-3z=0(3)
(1)式-(2)式得:2y+6z=11(4)
(4)式-(3)式得:9Z=11
解得z=11/9
y=11/6
x=121/18
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