SOLUTION: I have a question about "graph the system of inequalities." X+3y<=9 3x+y<=9 X>=0 y>=0

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Question 617302: I have a question about "graph the system of inequalities."
X+3y<=9
3x+y<=9
X>=0
y>=0

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Look at +x+%3E=+0+ and +y+%3E=+0+ first
This just says that both x and y are always
positive or zero. This only happens in the
1st quadrant.
Now look at the other equations
+x+%2B+3y+%3C=+9+
+3y+%3C=+-x+%2B+9+
+y+%3C=+-%281%2F3%29%2Ax+%2B+3+
and
+3x+%2B+y+%3C=+9+
+y+%3C=+-3x+%2B+9+
--------------
The solution is the area under both lines,
and confined to the 1st quadrant
Any point above either line doesn't work
Here's the plot:
+graph%28+400%2C+400%2C+-2%2C+10%2C+-2%2C+10%2C+-%281%2F3%29%2Ax+%2B+3%2C+-3x+%2B+9+%29+