若5x-6y=0,且xy≠0,则10x-4y/10x-3y的值等于

问题描述:

若5x-6y=0,且xy≠0,则10x-4y/10x-3y的值等于

5x=6y,且x、y均不为0
10x-4y/10x-3y=8y/9y=8/9
上面的答案都对,过程不对,均未提到由xy≠0得到x、y均不为0

8/9

5x-6y=0
5x=6y
所以10x=12y
所以原式=(12y-4y)/(12y-3y)
=8y/9y
=8/9

5x-6y=0
x=1.2y
10x-4y/10x-3y
=(12y-4y)/(12y-3y)
=8/9