已知4x-3y-6z=0x+2y-7z=0,则x-y+z/x+y+z= _ .
问题描述:
已知
,则
4x-3y-6z=0 x+2y-7z=0
= ___ .x-y+z x+y+z
答
,
4x-3y-6z=0① x+2y-7z=0②
①×7-②×6得:2x-3y=0,
解得:x=
y,3 2
①×2+②×3得:11x-33z=0
解得:x=3z,
∵x=
y,x=3z,3 2
∴y=2z,
∴
=x-y+z x+y+z
=3z-2z+z 3z+2z+z
=2z 6z
.1 3
故答案为:
.1 3