已知(x-y):y=2:3,求(2x+5y)/(3x-2y)=?
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已知(x-y):y=2:3,求(2x+5y)/(3x-2y)=?
![已知(x-y):y=2:3,求(2x+5y)/(3x-2y)=?](/uploads/image/z/4274471-47-1.jpg?t=%E5%B7%B2%E7%9F%A5%28x-y%29%3Ay%3D2%3A3%2C%E6%B1%82%282x%2B5y%29%2F%283x-2y%29%3D%3F)
∵(x-y):y=2:3,
∴2y=3(x-y)
2y=3x-3y
2y+3y=3x
5y=3x
y=(3/5)x
∴2x+5y=5x,3x-2y=(9/5)x
∴(2x+5y)/(3x-2y)
=(5x)/[(9/5)x]
=25/9
∴2y=3(x-y)
2y=3x-3y
2y+3y=3x
5y=3x
y=(3/5)x
∴2x+5y=5x,3x-2y=(9/5)x
∴(2x+5y)/(3x-2y)
=(5x)/[(9/5)x]
=25/9
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