Question

Tell whether the ordered pair is a solution of the given system (-2,1); {y=-2x-3; y=x+3

Answer 1

Plug the ordered pair into EACH equation and if it true for BOTH equations then it is a solution to the system.
1 = -2(-2) -3
1 = 4 - 3
1 = 1 Checks

1 = -2 + 3
1 = 1 Checks
Since it works in both equations YES, it is a solution
There are more ways to determine if an ordered pair is a solution if you're interested in another way.

Answer 2

Yes it is a solution