Question 1169129
Can you please help me figure out what coordinates would be the solution to the problem?
  
 2x-3y<9
-2x  -2x
-3y/-3<-2x/-3+9/-3
y>2/3x-3                                                                                                

Would the coordinates be (6,-4), (-1,-9), (2,-5), or (-3,-3)
<pre>You DON'T have to solve he inequality for y before checking the coordinate points. 
That's work that's TOTALLY UNNECESSARY! Unless, of course you're requested to solve for y.

2x - 3y < 9 
2(6) - 3(- 4) < 9 ------ Substituting (6, - 4) for (x, y)
12 + 12 < 9
24 < 9 
The above is FALSE, so (6, - 4) is NOT a solution.

2x - 3y < 9 
2(- 1) - 3(- 9) < 9 ------ Substituting (- 1, - 9) for (x, y)
- 2 + 27 < 9
25 < 9 
The above is FALSE, so (- 1, - 9) is NOT a solution. 

2x - 3y < 9 t
2(2) - 3(- 5) < 9 ------ Substituting (2, - 5) for (x, y)
4 + 15 < 9
19 < 9 
The above is FALSE, so (2, - 5) is NOT a solution.

2x - 3y < 9 
2(- 3) - 3(- 3) < 9 ------ Substituting (- 3, - 3) for (x, y)
- 6 + 9 < 9
3 < 9 
The above is TRUE, so (- 3, - 3) IS a solution.</pre>