SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4).The next one is,Deter

Question 105198: Hello out there,I need some help with some tough problems,the first one is,Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4).The next one is,Determine whether the system has one solution,no solution,or infinitely many solutions:y=2/3x and 2x-y=-4.The third one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:x+y=4 and 2x-y=-7.And the last one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:4x+2y=8 and 2x+y=1.Thanks to whoever can help.
Found 2 solutions by elima, babyb_:
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4).
You need to replace the x and y with the points given and see which one solves both equations;
2(2)-3(3),0
4-9<0
-3<0 - yes
2(0)-3(1)<0
0-3<0
-3<0 - yes
2(1)-3(4)<0
2-12<0
-10<0 - yes
All three are solutions
========================
The next one is,Determine whether the system has one solution,no solution,or infinitely many solutions:y=2/3x and 2x-y=-4.
You need to graph, and when they are graphed you see they cross at one point, so they only have one solution

======================================================
The third one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:x+y=4 and 2x-y=-7.
Again you need to graph and if they cross at one point- consistent, the same line- Dependant, parallel lines- inconsistent. These lines cross at one point, so they are consistent

And the last one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:4x+2y=8 and 2x+y=1.Thanks to whoever can help.
Same rules as the other, these lines are parallel, so they are inconsistent
:)

Answer by babyb_(6) (Show Source): You can put this solution on YOUR website!
Hello out there,I need some help with some tough problems,the first one is,Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4).
(It is only (2,3) and (1,4)- since (0,1) doesn't equal x+y>4 = 0+1>4 FALSE
RELATED QUESTIONS
Hello out there,I need some help with one tough problem,the problem is,Which of the... (answered by elima)
Hello out there,I need some help with some tough problems,the first one is,Mr.Adams buys... (answered by edjones)
Hello out there,I need some help with some really tough problems,I only have two of... (answered by solver91311)
Hello out there,I need some help with some tough problems,the first one... (answered by ankor@dixie-net.com)
Hello out there,I need some help with some tough problems,the first one is,Solve the... (answered by MathLover1)
Hello out there,I need some help with some tough problems,the first one... (answered by checkley71)
Hello out there,I need some help with some tough problems,the first one... (answered by jim_thompson5910)
Hello out there,I need some help with some tough problems,the first one... (answered by jim_thompson5910)