Verified Answer :

Lilith

\(\begin{cases}x= -8+y \\ -11x+9y=4 \end{cases}\\ \\\begin{cases}x= -8+y \\ -11 \cdot (-8+y)+9y=4 \end{cases}\\ \\\begin{cases}x= -8+y \\ 88-11y+9y =4 \end{cases}\\ \\\begin{cases}x= -8+y \\ -2y=4 -88\end{cases}\\ \\\)

\(\begin{cases}x= -8+y \\ -2y=-84 \ \ / :(-2)\end{cases}\\ \\\begin{cases}x= -8+y \\ y=\frac{-84}{-2} \end{cases}\\ \\\begin{cases}x= -8+42 \\ y=42 \end{cases}\\ \\\begin{cases}x= 34 \\ y=42 \end{cases}\\ \\\)