Which ordered pair makes both inequalities true? y < –x + 1 y > x

For this case, what you must do is to graph both lines in the same Cartesian plane.
 Once graphed, you must see by mathematical inspection the points that meet both inequalities.
 For this case, all points in the shaded region comply with the inequation system.
 
 All the ordered pairs of the shaded region.

-2(x-10)
-2(5-10)
-2(-5)
10