Question

[phuong thuyheirjew nguyen]

3xy-x+2y=8

Answer 1

[Nguyễn Lê Phước Thịnh]

3xy-x+2y=8

=>\(x\left(3y-1\right)+2y=8\)

=>\(3x\left(y-\frac13\right)+2y-\frac23=8-\frac23=\frac{22}{3}\)

=>\(\left(3x+2\right)\left(y-\frac13\right)=\frac{22}{3}\)

=>(3x+2)(3y-1)=22

=>(3x+2;3y-1)∈{(1;22);(22;1);(-1;-22);(-22;-1);(2;11);(11;2);(-2;-11);(-11;-2)}

=>(3x;3y)∈{(-1;23);(20;2);(-3;-21);(-24;0);(0;12);(9;3);(-4;-10);(-13;-1)}

=>(x;y)∈\(\left\lbrace\left(-\frac13;\frac{23}{3}\right);\left(\frac{20}{3};\frac23\right);\left(-1;-7\right);\left(-8;0\right);\left(0;4\right);\left(3;1\right);\left(-\frac43;-\frac{10}{3}\right);\left(-\frac{13}{3};-\frac13\right)\right\rbrace\)

Answer 2

[Nguyễn Gia Bảo]

Đề bài là gì vậy bạn