Answer
Inconsistent equation.
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
As we are given that $5x+2y=-5$ and $2(x+y)=6)(2-x)$
This can be re-written as:
$-10x-4y=10$ or, $22-6x=-6x-x-3=-x+9$
or, $0 \neq 22$
Hence, the given equation is an Inconsistent equation.