the ordered pair is not a solution of the system of linear equations.
if it was a solution of the system, when you plug in 2 for x to solve for y, -8 should be the answer for both equations but it’s not.
for y = -5x + 2
y = -5(2) + 2 = -10 + 2 = -8
for y = x - 4
y = 2 - 4 = -2
(2, -8) isn’t a solution