24x +8y ≥ 20
3x - 6y > 24
First, express both equations in slope-intercept form
y= mx+b
Where:
m= slope ( rise (y) / run (x))
b= y-intercept (where the line crosses the y axis)
Solve for y:
24x +8y ≥ 20
8y ≥ -24x +20
y ≥ (-24x +20 ) / 8
y ≥ -3x + 2.5
3x - 6y > 24
-6y > 24- 3x
y < (24 -3x) / -6
y < 1/2x -4
System:
y ≥ -3x + 2.5
y < 1/2x -4
Solution = the area where the 2 solutions overlap (blue+ red)
