please solve these system of inequalities

y ≤ 3/4 - x - 5
y > -2x + 2

2x - 3y ≤ 21
x + 4y < 6
3x + y ≥ - 4

Given the following restraints, find the maximum and minimum values:

z = -x + 5y
x + 3y ≤ 0
x - y ≥ 0
3x - 7y ≤ 16