ANSWER
No solution
EXPLANATION
The first equation is
[tex]y = {x}^{2} - 2x[/tex]
and the second equation is
[tex]y = - 2x - 1[/tex]
We equate the two equations to obtain;
[tex] {x}^{2} - 2x = - 2x - 1[/tex]
This implies that
[tex] {x}^{2} = - 2x + 2x - 1[/tex]
[tex] {x}^{2} = - 1[/tex]
There is no real number whose square is -1.
Therefore, the equation has no solution.