i: \(\Leftrightarrow6xy-9y+2y+2xy-3xy-1=0\)
=>\(5xy-7y=1\)
=>y(5x-7)=1
=>\(\left(5x-7;y\right)\in\left\{\left(1;1\right);\left(-1;-1\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(\dfrac{8}{5};1\right);\left(\dfrac{6}{5};-1\right)\right\}\)
g: \(\Leftrightarrow-6xy+12x+14-4x-6+3xy=0\)
=>\(-3xy+8x=-8\)
=>3xy-8x=8
=>x(3y-8)=8
=>\(\left(x;3y-8\right)\in\left\{\left(1;8\right);\left(8;1\right);\left(-1;-8\right);\left(-8;-1\right);\left(2;4\right);\left(4;2\right);\left(-2;-4\right);\left(-4;-2\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(1;\dfrac{16}{3}\right);\left(8;3\right);\left(-1;0\right);\left(-8;\dfrac{7}{3}\right);\left(2;4\right);\left(4;\dfrac{10}{3}\right);\left(-2;\dfrac{4}{3}\right);\left(-4;2\right)\right\}\)
