3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4
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3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4
3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4
3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4
X,Y,Z分别为:
-19/5
32/5
19/5
解方程用消元法,两个方程组一个组先消去一个未知数,第一个方程和第三方程再组个方程组消过刚才消的未知数。
从而得到了新的两个方程,把它们再组成方程组就能解出两个未知数了,代入第一方程中就能解出第三未知数了
3X+Y+Z=0 ①
2X-Y+3Z=1 ②
X+2Y-Z=4 ③
①+②得
5x+4z=1 ④
②*2+③得
5x+5z=6 ⑤
⑤-④得
z=5
把z=5代入⑤
x=-19/5
把z=5,x=-19/5代入③得
y=32/5
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2x+z=10 x+y-z=4 3x-y-z=0
x+y+z=6 x+2y+3z=14 y+1=z
方程组 (1) x+2y-3z=12 x-3y+2z= - 13 x-y-z=0 (2) x+ y=z 5x-y+z=18 2x+5y+3z= -1
(1)X+Y=15,Y+Z=-6,Z+X=7.(2)X+Y=-14,Y+Z=-7,Z+X=9.(3)X+Y=0,Y+Z=-1,Z+X=-1.
已知xyz≥0,x+y+z=1,化简x(2y-z)/(1+x+3y)+y(2z-x) /(1+y+3z) +z(2x-y)/(1+z+3x)
x+2y+z=3y+2x-z=0z-2y-3x=-1
2x-2y+z=0 2x+y-z=1 x+3y-2z=1
3X+Y+Z=0,2X-Y+3Z=1,X+2Y-Z=4
x+2y+z=0 x-y+2z=2 2x-y+3z=-1
{2x-2y+z=0,2x+y-z+1,x+3y-2z=1