若3X+2Y=0(XY≠0)则代数式2X+3Y/2X-3Y=若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)

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若3X+2Y=0(XY≠0)则代数式2X+3Y/2X-3Y=若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)

若3X+2Y=0(XY≠0)则代数式2X+3Y/2X-3Y=若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)
若3X+2Y=0(XY≠0)则代数式2X+3Y/2X-3Y=
若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)

若3X+2Y=0(XY≠0)则代数式2X+3Y/2X-3Y=若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)
若3X+2Y=0,则代数式2X+3Y/2X-3Y=?(XY不等于0)
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用换元法计算,简单,不容易错
3x+2y=0
3x=-2y
可以设
3x=-2y=6k
那么x=2k,y=-3k
代入2X+3Y/2X-3Y,有
2X+3Y/2X-3Y=
(4k-9k)/(4k+9k)=-5/13

3X+2Y=0 所以x=-2y/3 带入 2x=-4y/3 为
(-4y/3+3y)/(-4y/3-3y)=(5y/3)/(-13y/3)=-5/13

Y=-3X/2
13X/2-9/4 或 -3Y-9/4

5/13