Question 878687: Graph the following systems of inequalities . Find the coordinates of any vertices formed.
x + y ≤ 16
3x + 6y ≥ 60
x ≥ 0
y ≥ 0
Can you please help me ? Thanks so much in advance:)
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  just means the first quadrant, including the positive x- and y-axes.
 means the line represented by  plus all the points to one side of that line.
Which side? The one with the origin, (0,0),
because substituting  into
makes it true:  .
 means the line represented by <---> plus all the points to one side of that line.
Which side? The one without the origin, (0,0),
because substituting into
makes it not true:  .
How can we graph the lines represented by
and  <---> ?
These particular linear equations are easy to graph by finding their x- and y-intercepts.
For :
 --> gives us point (0,16).
 --> gives us point (16,0).
Those two points allow us to graph the line :
For <---> :
 --> gives us point (0,10).
 --> gives us point (20,0).
Those two points allow us to graph the line :
The region represented by 
is shown below as the triangle ABC.
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