SOLUTION: I am not sure how to resolved this math problem: Find points of intersection for 2x-4y>6 3x+2y<6 (Solve by graphing and state 1 solution and 1 non-solution) Thank you ver

Algebra ->  Linear-equations -> SOLUTION: I am not sure how to resolved this math problem: Find points of intersection for 2x-4y>6 3x+2y<6 (Solve by graphing and state 1 solution and 1 non-solution) Thank you ver      Log On


   

Question 444242: I am not sure how to resolved this math problem:
Find points of intersection for
2x-4y>6
3x+2y<6
(Solve by graphing and state 1 solution and 1 non-solution)
Thank you very much for your help
Elik
Found 3 solutions by benni1013, stanbon, MathLover1:
Answer by benni1013(206) About Me  (Show Source):
You can put this solution on YOUR website!
You will need graphing paper for this problem. First thing I do is turn the less than or greater than into equal signs. Second turn the equations into the slope-intercept form of an equation y=mx+b. Solve for b. This will be your point on the y-axis and use the slope to graph your second point. This is when you will have to remeber the less than greater than equalities. These should intersect.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am not sure how to resolved this math problem:
Find points of intersection for
2x-4y>6
3x+2y<6
(Solve by graphing and state 1 solution and 1 non-solution)
--------------
1st: Graph the boundary line of the 1st inequality:
y = 2x/4-6/4
y = (1/2)x-(3/2)
2nd: Sketch that boundary as a dashed line.
3rd: Since you want y < (1/2)x-(3/2), shade the
half-plane BELOW the boundary.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%281%2F2%29x-%283%2F2%29%29
-----------------------------
1st: Graph the boundary line of the 2nd inequality:
y =(-3/2)x +3
2nd: Sketch that as a dashed line.
3rd: Since you wan y < (-3/2)x+3, shade the
half-plane BELOW the boundary.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%28-3%2F2%29x+%2B+3%29
------------------------------------------------------
A point IN the intersection: (0,0)
A point Not IN the intersection: (0,6)
----------------------------------
Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2x-4y%3E6
3x%2B2y%3C6.......first solve for y

2x-6%3E4y
2x%2F4-6%2F4%3E4y%2F4
y%3C%281%2F2%29x-3%2F2

2y%3C6-3x
2y%2F2%3C6%2F2-3x%2F2
y%3C3-%283%2F2%29x
y%3C-%283%2F2%29x%2B3
now graph them:

y%3C%281%2F2%29x-3%2F2

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cy%3C%281%2F2%29x-3%2F2%29+
y%3C-%283%2F2%29x%2B3
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C-%283%2F2%29x%2B3%29+
and both together:

so, the points of intersection are where
A point of the intersection: (0,0)
A pointnot in the intersection: (0,6)