SOLUTION: I need help solving this equation in linear inequalities: y<=2x 2x+3y<=0

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Question 815168: I need help solving this equation in linear inequalities:
y<=2x
2x+3y<=0
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
y<=2x
2x+3y<=0
note that the first equation is solved for y, now we solve the second equation for y
3y <= -2x
y <= -2x/3
now we graph both inequalities
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C2x%2C+y%3C-2x%2F3%29+
the shaded area is where the inequalities overlap
now let's look at the x values from each inequality
x >= y/2 from first equation
x <= -3y/2
we can combine the two inequalities
y/2 =< x <= -3y/2