[tex]\begin{cases} 5x-3y=-11 \\ x-2y=2 \end{cases}\\\\\begin{cases} 5x-3y=-11 \\ x =2y+2 \end{cases}\\\\Substitution \\5(2y+2) -3y=-11 \\10y+10-3y=-11[/tex]
[tex]7y=-11-10\\7y=-21\ \ / :7\\y=-3\\\\x =2*(-3)+2=-6+2=-4\\\\Answer: \ \ \begin{cases}x=-4 \\y=-3 \end{cases}[/tex]