a. ta có 2y+3 là số lẻ nên
\(\left|2y+3\right|\in\left\{1,3\right\}\)
\(TH1:\left|2y+3\right|=1\Rightarrow\hept{\begin{cases}\left|2y+3\right|=1\\\left|x+5\right|=14\end{cases}}\) vậy (x,y) = (-19,-2) , (-19,-1) (9,-2) , (9,-1)
TH2: \(\left|2y+3\right|=3\Rightarrow\hept{\begin{cases}\left|2y+3\right|=3\\\left|x+5\right|=6\end{cases}}\)Vậy (x,y) =( -11,-1) , (-11,0) , (1,-1), (1,0)
b. ta có \(\left(2x\right)^2+\left|y+3\right|=9\)
\(TH1:\left|2x\right|=2\Rightarrow\hept{\begin{cases}\left|2x\right|=2\\\left|y+3\right|=5\end{cases}}\) vậy (x,y) = (-1,-8) ,(-1,2) ,(1,-8), (1,2)
\(TH2:\left|2x\right|=0\Leftrightarrow\hept{\begin{cases}\left|2x\right|=0\\\left|y+3\right|=9\end{cases}}\)vậy (x,y=(0,-12) , (0.6)