Question

47x+35y=1100,x,y都是整数,x,y各为多少

Answer 1

47x+35y=1100

所以12×(4x+3y)-(x+y)=1100

4x+3y>91

⑴.当4x+3y=92时,x+y=92×12-1100=4

解得x=80,y=-76

⑵.当4x+3y=93时,x+y=93×12-1100=16

解得x=45,y=-29

⑶.当4x+3y=94时,x+y=94×12-1100=28

解得x=10,y=18

⑷.当4x+3y=95时,x+y=95×12-1100=40

解得x=-25,y=65

…………………………

如果都是正整数x=10,y=18