\begin{tikzpicture}[line join=round]%
\begin{scope}%
\clip (-0.5,-0.5) rectangle (9.5,8.0);%
\begin{scope}[]%
\pgfsetstrokecolor{LightGray}%
\pgfsetroundcap%
\draw[-] (0,0) -- (0,7.5) (1,0) -- (1,7.5) (2,0) -- (2,7.5) (3,0) -- (3,7.5) (4,0) -- (4,7.5) (5,0) -- (5,7.5) (6,0) -- (6,7.5) (7,0) -- (7,7.5) (8,0) -- (8,7.5) (9,0) -- (9,7.5) (0,0) -- (9,0) (0,1) -- (9,1) (0,2) -- (9,2) (0,3) -- (9,3) (0,4) -- (9,4) (0,5) -- (9,5) (0,6) -- (9,6) (0,7) -- (9,7);%
\end{scope}%
\draw[->] (0,3) -- (9,3);%
\draw[-] (8.7845,3.2) node[above] {$x$};%
\draw[-] (0,2.9) -- (0,3.1) (1,2.9) -- (1,3.1) (2,2.9) -- (2,3.1) (3,2.9) -- (3,3.1) (4,2.9) -- (4,3.1) (5,2.9) -- (5,3.1) (6,2.9) -- (6,3.1) (7,2.9) -- (7,3.1) (8,2.9) -- (8,3.1);%
\draw[-] (3.1875,2.9) node[below] {$0$} (4.1875,2.9) node[below] {$1$} (5.1875,2.9) node[below] {$2$} (6.1875,2.9) node[below] {$3$} (7.1875,2.9) node[below] {$4$} (8.1875,2.9) node[below] {$5$} (2.1875,2.9) node[below] {$-1$} (1.1875,2.9) node[below] {$-2$} (0.1875,2.9) node[below] {$-3$};%
\draw[->] (3,0) -- (3,7.5);%
\draw[-] (3.2,7.322) node[right] {$y$};%
\draw[-] (3.1,0) -- (2.9,0) (3.1,1) -- (2.9,1) (3.1,2) -- (2.9,2) (3.1,3) -- (2.9,3) (3.1,4) -- (2.9,4) (3.1,5) -- (2.9,5) (3.1,6) -- (2.9,6) (3.1,7) -- (2.9,7);%
\draw[-] (2.9,3.1875) node[left] {$0$} (2.9,4.1875) node[left] {$1$} (2.9,5.1875) node[left] {$2$} (2.9,6.1875) node[left] {$3$} (2.9,7.1875) node[left] {$4$} (2.9,2.1875) node[left] {$-1$} (2.9,1.1875) node[left] {$-2$} (2.9,0.1875) node[left] {$-3$};%
\draw[draw=none,fill=Pink, fill opacity=0.6] (7,1) -- (3,5) -- (1,3) -- (1.6667,1)--cycle;%
\draw[-] (3,2.5) node[inner sep=0,draw=none,fill=pink, fill opacity=0.8] {$\begin {cases}x+y<2\\ x-y>2\\ x+y/3>-2\\ y>-2\end {cases}$};%
\draw[line width=0.4,color=blue,solid] (0.5,7.5) -- (8,0);%
\draw[-] (4.25,3.75) node[above=0.05cm,text=blue,fill=white,fill opacity=0.8,cm={0.7071,-0.7071,0.7071,0.7071,(0,0)}] {$x+y=2$};%
\draw[line width=0.4,color=blue,solid] (0,2) -- (5.5,7.5);%
\draw[-] (2.75,4.75) node[above=0.05cm,text=blue,fill=white,fill opacity=0.8,cm={0.7071,0.7071,-0.7071,0.7071,(0,0)}] {$x-y=-2$};%
\draw[line width=0.4,color=blue,solid] (2,0) -- (0,6);%
\draw[-] (1,3) node[below=0.05cm,text=blue,fill=white,fill opacity=0.8,cm={0.3162,-0.9487,0.9487,0.3162,(0,0)}] {$x+y/3=-2$};%
\draw[line width=0.4,color=blue,solid] (9,1) -- (0,1);%
\draw[-] (4.5,1) node[below=0.05cm,text=blue,fill=white,fill opacity=0.8,cm={1,0,0,1,(0,0)}] {$y=-2$};%
\draw[red,solid,line width=0.4] (6.5,0) -- (9,5);%
\draw[-] (7.75,2.5) node[below=0.05cm,text=red,fill=white,fill opacity=0.8,cm={0.4472,0.8944,-0.8944,0.4472,(0,0)}] {$-2x+y=-10$};%
\draw[mark=*,mark size=1.4pt] plot coordinates {(7,1)};%
\draw[red,solid,line width=0.4] (0,1) -- (3.25,7.5);%
\draw[-] (1.625,4.25) node[above=0.05cm,text=red,fill=white,fill opacity=0.8,cm={0.4472,0.8944,-0.8944,0.4472,(0,0)}] {$-2x+y=4$};%
\draw[mark=*,mark size=1.4pt] plot coordinates {(1,3)};%
\end{scope}%
\end{tikzpicture}%