解方程组:(x+2y)÷3=(2y-3z)÷6=(x-3z)÷9 1⼀2 x+y-3⼀2 z=9

(x+2y)÷3=(2y-3z)÷6=(x-3z)÷9 1/2 x+y-3/2 z=9
2024-12-16 12:36:16
推荐回答(1个)
回答1:

(x+2y)÷3=(2y-3z)÷6=(x-3z)÷9 ,
变为2(x+2y)=2y-3z,3(x+2y)=x-3z,
又变为2x+2y=-3z=2x+6y,
∴y=0,x=-3z/2,①
1/2 x+y-3/2 z=9,②
把①代入②,-9z/4=9,z=-4,
代入①,x=6,
∴{x=6,
{y=0,
{z=-4.