#### Answer

$x=1$
$y=3$

#### Work Step by Step

First, we have to solve the second equation for $x$ and after that, we can substitute this expression in the first equation:
$x+2y=7$
$x=7-2y$
$4x-5y=-11$
$4(7-2y)-5y=-11$
$28-13y=-11$
$y=3$
$x=7-2(3)=1$
We need to check, if it is the right solution, we substitute x with $1$ and y with $3$:
$1+2(3)=7$ $\checkmark$
$1=7-2(3)$ $\checkmark$