Answer:
The solution is (-6,1).
Explanation:
Given the system of equations:
[tex]\begin{gathered} y=x+7 \\ -2x-11=y \end{gathered}[/tex]Substitute y=x+7 into the second equation:
[tex]-2x-11=x+7[/tex]Next, solve the equation for x:
[tex]\begin{gathered} -11-7=x+2x \\ -18=3x \\ \frac{-18}{3}=\frac{3x}{3} \\ x=-6 \end{gathered}[/tex]Recall that y=x+7:
[tex]\begin{gathered} y=x+7 \\ y=-6+7 \\ y=1 \end{gathered}[/tex]The solution is (-6,1).
