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

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) (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
-----------------
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.
RELATED QUESTIONS
find the equation of the line that passes through the point whose coordinates are (1, -1) (answered by rapaljer)

graph the feasible set for the system of inequalities and find the coordinates of the... (answered by KMST)

HI, this question is from my textbook. The equations of two sides of a square are y=3x-1 (answered by Alan3354,KMST)

Graph the system of inequalities. Find the coordinates of any vertices formed. 1)6x-2y... (answered by scott8148)

x2 + y2 ≤ 9 x − y > 0 Find the coordinates of all vertices.... (answered by KMST)

the graphs of the three equations below from a triangle. Find the coordinates of the... (answered by richard1234)

I am working on systems of linear equations, which I have until now been able to complete (answered by funmath)

2x + 3y = 2 2x + 3y = 3 Are these lines parallel, perpendicular, or neither. I... (answered by Alan3354)

hey. so im new to learning algebra they just put me in it. can you show me how to slove... (answered by venugopalramana)