已知x=6-y,z2=9-xy,z≠3-y,则x+2y-z=________.

发布时间:2020-08-07 14:38:03

已知x=6-y,z2=9-xy,z≠3-y,则x+2y-z=________.

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9
解析分析:先将x=6-y代入z2=9-xy=(y-3)2,解得:z=y-3或z=3-y,再根据z≠3-y,得到z=y-3,代入原式x+2y-z=6-y+2y-y+3=9.

解答:∵x=6-y
∴z2=9-xy
=9-(6-y)y
=9-(6y-y2)
=y2-6y+9
=(y-3)2
∴z=y-3或z=3-y
∵z≠3-y
∴z=y-3
∴x+2y-z=6-y+2y-y+3=9
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