①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-6=0③x/3=y/2 y/4=z/5 x+y+z=60三元一次方程

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①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-6=0③x/3=y/2 y/4=z/5 x+y+z=60三元一次方程
①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-6=0③x/3=y/2 y/4=z/5 x+y+z=60
三元一次方程

①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-6=0③x/3=y/2 y/4=z/5 x+y+z=60三元一次方程
(1)x+y+z=6 ①3x-y+2z=12② x-y-3z=-4 ③
①+②4x+3z=18 ④ ②-③2x+5z=16⑤
⑤×2 4x+10z=32⑥ ⑥-④7z=14 解得z=2 代入⑤2x+5×2＝16解得x=3
将x=3 z=2 代入①3+y+2=6解得y=1
x=3 y=1 z=2
(2)x+y-z=2① 4x-2y+3z+8=0 ②x+3y-2z-6=0③
①×4 4x+4y-4z=8④ ④-②6y-7z=16⑤
③-① 2y-z=4 将 z=2y-4代入⑤6y-7(2y-4)=16解得y=1.5 z=2×1.5-4=﹣1
将y=1.5 z=-1代入①x+1.5-（-1）=2解得x=-0.5
x=-0.5 y=1.5 z=-1
(3)x/3=y/2① y/4=z/5② x+y+z=60③
由①得x=3/2y 由②得z=5/4y 代入③3/2y+y+5/4y=60解得y=16
x=3/2×16=24 z=5/4×16=20
x=24 y=16 z=20

如果|x+y+z-6|+|2x+3y-z-12|+|2x-y-z|=0求x,y, 3x-y+z=4,2z+3y-z=12,x+y+z=6的解 x+y+z=6 x+2y+3z=14 y+1=z 已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z 试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y) ①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-6=0③x/3=y/2 y/4=z/5 x+y+z=60三元一次方程 3x-y+z=3,2x+3y-z=12,x+y+z=6解方程组解方程组{3x+y-z=4,2x-y+3z=12,x+y+z=6} 解方程组2x+3y-z=12,3x-y+z=4,x+y+z=6 {3x-y+z=4,2x+3y-z=12,x+y+z=6 3x-y+z=4,2x+3y-z=12,x+y+z=6 3x - y + Z=4{ 2x + 3y - Z=12X + Y + Z = 6 3x-y+z=4, 2x+3y-z=12, x+y+z=6 3x-y+z=4 2x+3y-z=12 x+y+z=6 2x+3y-z=12 3x-y+z=4 x+y+z=6 方程组 3X-Y+Z=10 X+2Y-Z=6 X+Y+Z=12 X=3z X+y+z=12 X+2y-2z=10 x=y/z=z/3,x+y+z ＝12,求2x+3y+4z是多少,