Question

which point is a solution to the following systems of inequalites

-4x+ 5y> 20
8x + 3y < 24

Answer 1

You have an infinite number of points which are a solution to the given system.
from the first:
y > (4/5)x + 4
sketch y = (4/5)x + 4 , using a dotted line
shade in the region ABOVE that line

from the 2nd:
y < -(8/3)x + 8
draw a dotted line y = (-8/5)x + 8
shade in everything BELOW that line

Any point in the region shaded by both will be a solution
e.g. (-5,5) works for both inequations
(-10,0) works for both inequations.