已知方程组2x-y+z=0和5x+8y-z=0,且xyz不等于0,求(2x^-x...

已知方程组2x-y+z=0和5x+8y-z=0,且xyz不等于0,求(2x^-xy+z^)/(2x^+y^-z^)的值
2024-11-15 17:59:32
推荐回答(1个)
回答1:

xyz不等于0,即x,y,z都不为0
①:
2x-y+z=0
②:
5x+8y-z=0
①+②得x=-y
用x替换y,先代入①式得z=-3x,则z²=9x²
再代入下式得
(2x²-xy+z²)/(2x²+y²-z²)=-2