x+y+z=4 2x-3y+4z=11

问题描述:

x+y+z=4 2x-3y+4z=11
2x-y+z=3 3x+y-2z=3
3x-2y-3z=-5 z=x+y
这是三元一次方程,

x+y+z=4
2x-y+z=3
3x-2y-3z=-5
x =1,y= 1,z = 2
2x-3y+4z=11
3x+y-2z=3
z=x+y
x=2,y= -1,z =1x+y+z=41 2x-y+z=3 23x-2y-3z=-5 3(1)+(2)消去y2(2)-(3)也消去y然后再消去x或zx =1, y= 1, z = 22x-3y+4z=11 3x+y-2z=3 z=x+y把z=x+y替换前2个等式,再消去x或yx=2, y= -1, z =1