已知（8X-9)²5+2/9y-8/=0,试求试求2xy-x/3x-2y+xy-2/2y-3x+x-3/3x-2y的值

已知（8X-9)²5+2/9y-8/=0,试求试求2xy-x/3x-2y+xy-2/2y-3x+x-3/3x-2y的值
已知（8X-9)²5+2/9y-8/=0,试求试求2xy-x/3x-2y+xy-2/2y-3x+x-3/3x-2y的值

已知（8X-9)²5+2/9y-8/=0,试求试求2xy-x/3x-2y+xy-2/2y-3x+x-3/3x-2y的值
（8X-9)²+2/9y-8/=0
8x-9=0 x=9/8
9y-8=0 y=8/9
xy=1
2xy-x/3x-2y+xy-2/2y-3x+x-3/3x-2y
=(1-x)/(3x-2y)+(2-1)/(3x-2y)+(x-3)/(3x-2y)
=(1-x+1+x-3)/(3x-2y)
=-1/(3x9/8-2x8/9)
=-1/(27/8-16/9)
=-1/(115/72)
=-72/115

2xy-x/3x-2y + xy-2/2y-3x + x-3/3x-2y
=2xy-x/3x-2y - xy-2/3x-2y + x-3/3x-2y
=(2xy-x)-(xy-2)+(x-2)/3x-2y
=xy/3x-2y
∵(8X-9)²+2/9y-8/=0
∴8x-9=0 x=9/8
9y-8=0 y=8/9
xy=9/8 × 8/9 =1
3x-2y= 3× 9/8 -2 × 8/9= 115/72
xy/3x-2y= 1/115/72=72/115