解方程 (2x+y+z=15,x+2y+z=16,x+y+2z=17)

问题描述:

解方程 (2x+y+z=15,x+2y+z=16,x+y+2z=17)

(1)2x+y+z=15
(2)x+2y+z=16两边×2得(5)2x+4y+2z=32与(1)相减得(6)
(3)x+y+2z=17与(2)相减得(4)
(4)-y+z=1
(6)3y+z=17与(4)相减
4y=16
y=4
z=5
x=3