Given data:
The given graph is shown.
The solution o the graph is the point of intersection of both the lines, here (-2, -1) is the solution of the graph.
Substitute (-2, -1) in first option.
[tex]\begin{gathered} -1=3(-2)+5 \\ -1=-1 \\ and\text{ } \\ -1=\frac{1}{2}(-1)+2 \\ -1\ne1.5 \end{gathered}[/tex]
Substitute (-2, -1) in second option.
[tex]\begin{gathered} -1=-2(-2)+3 \\ -1\ne7 \end{gathered}[/tex]
The above option is also wrong.
Substitute (-2, -1) in third option.
[tex]\begin{gathered} -1=\frac{1}{5}(-2)-\frac{3}{5} \\ -1=-1 \\ \text{and} \\ -1=\frac{3}{2}(-2)+2 \\ -1=-1 \end{gathered}[/tex]
Thus, the option (C) is correct.
