解方程组 z=x+y 2x-3y+2z=5 x+2y-z=3

问题描述:

解方程组 z=x+y 2x-3y+2z=5 x+2y-z=3

x+y-z=0 (1)
x+2y-z=3 (2)
2x-3y+2z=5 (3)
2-1式得y=3
将y=3代入2、3得
x-z=-3 (4)
x+z=7 ( 5)
4+5式得2x=4 解得x=2 y=5
综合得x=2 y=3 z=5