求值:x+3y分之x-2y,3x-5y=0

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求值:x+3y分之x-2y,3x-5y=0

求值:x+3y分之x-2y,3x-5y=0
求值:x+3y分之x-2y,3x-5y=0

求值:x+3y分之x-2y,3x-5y=0
3x-5y=0
3x=5y
x/y=5/3
(x-2y)/(x+3y)
=(x/y-2y/y)/(x/y+3y/y)
=(x/y-2)/(x/y+3)
=(5/3-2)/(5/3+3)
=(-1/3)/(14/3)
=-1/3*3/14
=-1/14

3x-5y=0 得到x=5y/3带入要求的:x+3y分之x-2y=(5y/3+3y)/(5y/3-2y)=14y/(-y)=-14

-1/14
3X-5Y=0
3X=5Y
(X-2Y)/(X+3Y) 分子分母同乘以3
=(3X-6Y)/(3X+9Y)
=(5Y-6Y)/(5Y+9Y)
=-(1/14)