∵丨x一3丨十丨4一y丨十丨x十y一z丨=0,且绝对值的值为非负数,为了满足题意,∴X-3=0,4-Y=0,X+Y-Z=0.列出方程组{X-3=0 {4-Y=0 {X+Y-Z=0解得{X=3 {Y=4 {Z=7