\(\Leftrightarrow\left(2+3y\right)x-6y+1=0\)
Để x nguyên thì \(\Delta=\left(2+3y\right)^2+4\left(6y-1\right)=k^2\left(k\in Z\right)\)
\(\Leftrightarrow k^2-\left(3y+2\right)^2=4\left(6y-1\right)\)
\(\Leftrightarrow\left(k-3y-2\right)\left(k+3y+2\right)=4\left(6y-1\right)=2.2\left(6y-1\right)=-4\left(1-6y\right)=\left(-2\right)\left(-2\right)\left(6y-1\right)\)Đến đây giải hpt là ra.
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