已知xyz不等于0,且x+2y-z=0,7x-y-z=0,求x+y+z/2x-y-z的值.

问题描述:

已知xyz不等于0,且x+2y-z=0,7x-y-z=0,求x+y+z/2x-y-z的值.

因为x+2y-z=0,7x-y-z=0
两式相减,得:6x-3y=0,
所以y=2x
代入x+2y-z=0中,
得:x+4x-z=0,
那么z=5x
那么(x+y+z)÷(2x-y-z)
=(x+2x+5x)÷(2x-2x-5x)
=(8x)÷(-5x)
=-8/5