三元一次方程组;X+Y+Z=0,4X+2Y+Z=0,Z=2;

问题描述:

三元一次方程组;X+Y+Z=0,4X+2Y+Z=0,Z=2;

X+Y+Z=0 (1)
4X+2Y+Z=0 (2)
Z=2; (3)
代入(3)到(1) (2)
x+y+2=0
4x+2y+2=0
x=1,y=-3

,∵Z=2;X+Y+Z=0,4X+2Y+Z=0∴X+Y=-2,4X+2Y=-2∴2x+y=-1∴x=1∴y=-3

X+Y+2=0
4X+2Y+2=0
得2X-2=0
X=1 Y=-3 Z=2

X=1.25 Y=-3.25 Z=2