SOLUTION: 3y>9-2x
2x+3y<-6
Algebra.Com
Question 1205412: 3y>9-2x
2x+3y<-6
Found 3 solutions by josgarithmetic, greenestamps, math_tutor2020:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
----------------
3y>9-2x
2x+3y<-6
----------------
Put both into slope-intercept form and graph each region separately. The overlapping parts is your graph, which will exclude the reference lines.
The graphed reference lines:
But in this example, no overlap. Two separated regions.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Move the "x" term in the first inequality; the two inequalities are then
2x+3y > 9
2x+3y < -6
Since the value of an expression can never be both greater than 9 and less than -6, there is no solution.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
3y>9-2x is the same as 2x+3y > 9 when adding 2x to both sides.
We have this system of inequalities
which is equivalent to this system
where z = 2x+3y
What number is larger than 9 AND smaller than -6 at the same time?
No such number exists.
There are no solutions.
In reference to tutor josgarithmetic's graph, 3y>9-2x aka 2x+3y > 9 has you shade above the line 2x+3y = 9 (the red line in their graph).
while 2x+3y < -6 means you shade below the parallel green line 2x+3y = -6
These shaded regions do not overlap, which is a visual indicator of "no solutions"
RELATED QUESTIONS
2x+3y=9.... (answered by lynnlo)
2x+3y=9.... (answered by lynnlo,jim_thompson5910)
-9=x-3y... (answered by jim_thompson5910)
2x-3y>9 or... (answered by Fombitz)
2x+y=6... (answered by Fombitz)
2x-3y=6 (answered by adamchapman)
2x + 3y =... (answered by stanbon)
2x + 3y =... (answered by rchill)
2x + 3y =... (answered by rapaljer)