SOLUTION: Please help me graph this equation: Graph the following system of inequalities and label the feasible set FS. Find all corner points (vertices) and label them on the graph. Please

Algebra ->  Graphs -> SOLUTION: Please help me graph this equation: Graph the following system of inequalities and label the feasible set FS. Find all corner points (vertices) and label them on the graph. Please       Log On


   

Question 344460: Please help me graph this equation: Graph the following system of inequalities and label the feasible set FS. Find all corner points (vertices) and label them on the graph. Please show all your work.
+x%2By+%3C=+6+
+3x%2B2y+%3C=+13+
+2x%2By+%3C=+8+
+x+%3E=+0+ , +y+%3E=+0+
Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First plot the constraints.
+x%2By+=+6+
highlight%28y1=-x%2B6%29
Plot the line.
graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%29
Next,
+3x%2B2y+=+13+
2y=-3x%2B13
highlight%28y2=-%283%2F2%29x%2B13%2F2%29
graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%2C-%283%2F2%29x%2B13%2F2%29
Next,
+2x%2By+=+8+
highlight%28y3=-2x%2B8%29
graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C-x%2B6%2C-%283%2F2%29x%2B13%2F2%2C-2x%2B8%29
Find the intersection of y1 and y2.
y1=-x%2B6
y2=-%283%2F2%29x%2B13%2F2
-x%2B6=-%283%2F2%29x%2B13%2F2
-2x%2B12=-3x%2B13
x=1
Then
y=-1%2B6
y=5
(1,5)
.
.
.
Find the intersection of y2 and y3.
y2=-%283%2F2%29x%2B13%2F2
y3=-2x%2B8
-%283%2F2%29x%2B13%2F2=-2x%2B8
-3x%2B13=-4x%2B16
x=3
Then
y=-2%283%29%2B8
y=2
(3,2)
.
.
.
Find the y-intercept of y1 and the x-intercept of y3.
y1=-x%2B6
y1=6
(0,6)
.
.
y3=-2x%2B8
0=-2x%2B8
2x=8
x=4
(4,0)
.
.
.
Plot the intersection points and the intercepts.