若(3x-2y)/(x+y)=2/3,则3x/5y=

问题描述:

若(3x-2y)/(x+y)=2/3,则3x/5y=

∵(3x-2y)/(x+y)=2/3
∴3(3x-2y)=2(x+y)
9x-6y=2x+2y
9x-2x=2y+6y
7x=8y
x/y=8/7
∴3x/5y
=(3/5)×(x/y)
=(3/5)×(8/7)
=24/35
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