解方程组(1)x-2y=z,3x+2y=1,2x-y=z+1/2

问题描述:

解方程组(1)x-2y=z,3x+2y=1,2x-y=z+1/2
如题(三元一次方程组)

x-2y=z①
3x+2y=1②
2x-y=z+1/2 ③
③:4x-2y=2z+1④
①+②:4x=z+1
z=4x-1⑤
⑤代入④:4x-2y=4x-2+1
2y=1
y=0.5
代入②:3x+2×0.5=1
3x=0
x=0
x=0 y=0.5代入⑤:z=4×0-1=-1