Question

tìm cặp số nguyên x,y thỏa mãn 7x+2xy-3y=7

Answer 1

=>7x+y(2x-3)=7

=>7x-10,5+y(2x-3)=7-10,5

=>(x-1,5)(2y+7)=-3,5

=>(2x-3)(2y+7)=-7

=>\(\left(2x-3;2y+7\right)\in\left\{\left(1;-7\right);\left(-7;1\right);\left(-1;7\right);\left(7;-1\right)\right\}\)

=>\(\left(x,y\right)\in\left\{\left(2;-7\right);\left(-2;-3\right);\left(1;0\right);\left(5;-4\right)\right\}\)