Question

\(Tìm\)\(x,y\in N\)\(thỏa\)\(mãn\)

\(a.\)\(\left(3x-2\right)\cdot\left(2y-3\right)=1\)

\(b.\)\(\left(x+1\right)\cdot\left(2y-1\right)=12\)

Answer 1

\(a,\)\(\left(3x-2\right)\left(2y-3\right)=1\)

\(\Rightarrow\)Trường hợp 1 : 

\(\hept{\begin{cases}3x-2=1\\2y-3=1\end{cases}\Rightarrow\hept{\begin{cases}x=1\\y=2\end{cases}}}\)

\(\Rightarrow\)Trường hợp 2 :

\(\hept{\begin{cases}3x-2=-1\\2y-3=-1\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{1}{3}\\y=1\end{cases}}}\)

Vậy ....

Answer 2

#)Giải :

\(b,\left(x+1\right).\left(2y-1\right)=12\)

\(\left(2y-2\right)y-x-13=0\)

\(2\left(x+1\right)=0\)

\(2x=-2\Rightarrow x=-1\)

\(2y-1=0\Rightarrow2y=1\Rightarrow y=\frac{1}{2}\)