已知x/2=y/3=z/5,求分式x+3y-z/2x-y+z的值已知x/2=y/3=z/5,求分式x+3y-z/x-3y+z的值
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已知x/2=y/3=z/5,求分式x+3y-z/2x-y+z的值已知x/2=y/3=z/5,求分式x+3y-z/x-3y+z的值
已知x/2=y/3=z/5,求分式x+3y-z/2x-y+z的值
已知x/2=y/3=z/5,求分式x+3y-z/x-3y+z的值
已知x/2=y/3=z/5,求分式x+3y-z/2x-y+z的值已知x/2=y/3=z/5,求分式x+3y-z/x-3y+z的值
设x/2=y/3=z/5=k
则:x=2k
y=3k
z=5k
将x=2k y=3k z=5k代入(x+3y-z)/(x-y+z)中;
(x+3y-z)/(x-y+z)
=(2k+9k-5k)/(2k-3k+5k)
=6k/4k
=3/2
由X/2=y/3=z/5 有:x/2=y/3得y=3x/2;x/2=z/5得z=5x/2 将y和z分别用x代替即可。
你给的问题答案分别为:1和-3
令x/2=y/3=z/5=k,即得:x=2k, y=3k,z=5k;代入式:(x+3y-z)/(x-3y+z)(原题中应加括号)即得:(x+3y-z)/(x-3y+z)=6k/(-2k)=-3.
设x/2=y/3=z/5=k
则:x=2k
y=3k
z=5k
将x=2k y=3k z=5k代入(x+3y-z)/(x-y+z)中;
(x+3y-z)/(x-y+z)
=(2k+9k-5k)/(2k-3k+5k)
=6k/4k
=3/2
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