已知实数x,y,z满足：
问题描述：
已知实数x,y,z满足：
x/（x+1）=y/（y+2）=z/（z+3）=（x+y+z）/3,则x+y+z=
答
x/（x+1）=y/（y+2）=z/（z+3）=（x+y+z）/3,则x+y+z=∴(x+1)/x=(y+2)/y=(z+3)/z=3/(x+y+z)∴[(x+1)+(y+2)+(z+3)]/(x+y+z)=3/(x+y+z)(x+y+z+6)/(x+y+z)=3/(x+y+z)x+y+z+6=3∴x+y+z=-3