#### Answer

$(-6,-7)$

#### Work Step by Step

Step 1
Substitute $y$ with $2x+7$ in the second equation and solve for x
$ 2x+7=x+1\quad$ ... add $-x-7$ to both sides
$2x-x=1-7$
$x=-6$
Step 2
Substitute $x$ with $-6$ in the second equation
$y=-6-1$
$y=-7$
Solution: $(-6,-7)$
Check: $\left[\begin{array}{lll}
-7\stackrel{?}{=}2(-6)+7 & ..... & -7\stackrel{?}{=}-6-1\\
-7=-13+7 & & -7=-7\\
-7=-7 & &
\end{array}\right]$