已知整数x.y满足6xy+9x-10y+16求x+y值

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已知整数x.y满足6xy+9x-10y+16求x+y值已知整数x.y满足6xy+9x-10y+16求x+y值已知整数x.y满足6xy+9x-10y+16求x+y值满足6xy+9x-10y+16=0,对

已知整数x.y满足6xy+9x-10y+16求x+y值
已知整数x.y满足6xy+9x-10y+16求x+y值

已知整数x.y满足6xy+9x-10y+16求x+y值
满足6xy+9x-10y+16=0,对吗?
(3X-5)(2Y+3)=31,
∵X、Y都是整数,而31是质数,
∴可得四个方程组:
3X-5=1,3X-5=-1 3X-5=31 3X-5=-31
2Y+3=31 2Y+3=-31 2Y+3=1 2Y+3=-1
解得整数
X1=2,Y1=14,
x2=12,y2=-1.