SOLUTION: Find the coordinates of the vertices, even if they are not part of the solution y-3<0 y<2x+1 3y-x>=3

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Question 1005179: Find the coordinates of the vertices, even if they are not part of the solution
y-3<0
y<2x+1
3y-x>=3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the coordinates of the vertices, even if they are not part of the solution
y-3<0
y<2x+1
3y-x>=3
----
Solve each for "y"::
y < 3
y < 2x+1
y > x/3 + 1
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Solve each pair of EQUALITIES to find the points of intersection::
3 = 2x+1
x = 1, then y = 3------- vertex (1,3)
-----
3 = x/3 + 1
x = 6, then y = 3 ------ vertex (6,3)
-----
2x+1 = x/3+1
(5/3)x = 0
x = 0, then y = 1 ------ vertex (0,1)
------------------------
Cheers,
Stan H.