Question

三元一次方程计算题x+y+z=100x-y-z=2z-y=7（请写出详细过程）

Answer 1

x+y+z=100 (1)

x-y-z=2 (2)

z-y=7 (3)

(1)+(2)

2x=102

x=51

(1)-(2)

2y+2z=98

y+z=49 (4)

(3)+(4)

2z=56

z=28

y=49-z=21

所以x=51,y=21,z=28