[6.01] Select the system of equations that corresponds to the given graph.

grahp.jpg

4x + 2y = 12
4x + 2y = 4

2x + 3y = 4
6x + 9y = 12

2x + 4y = 12
2x + y = 3

2x + 3y = 8
−x + y = −4

Question

[6.01] Select the system of equations that corresponds to the given graph.

 grahp.jpg

 4x + 2y = 12
      4x + 2y = 4
 
 2x + 3y = 4
      6x + 9y = 12 

 2x + 4y = 12
      2x + y = 3
 
 2x + 3y = 8
      −x + y = −4

anonymous · Answer

here is the graph

jim_thompson5910 · Answer

the two equations produce the same line (one line is right on top of the other)

jim_thompson5910 · Answer

which system gives you something like that?

anonymous · Answer

2x + 3y = 4
      6x + 9y = 12

anonymous · Answer

4x + 2y = 12
      4x + 2y = 4 
this one

jim_thompson5910 · Answer

close, the left sides are identical...but the right sides are different

this means you'll have 2 parallel lines

anonymous · Answer

ok? i am lost here can you explain it better to me?

anonymous · Answer

jewest19 why will it be that? i am lost?

jim_thompson5910 · Answer

6x + 9y = 12

3(2x+3y) =3*4

2x+3y = 4 ... Divide both sides by 3.

notice how this identical to the first equation in the system

2x + 3y = 4 
6x + 9y = 12

jim_thompson5910 · Answer

so that shows you that you're dealing with the same equation (which produces the same exact graph)

anonymous · Answer

Look at the graph and find any possible points you can see, (2,0) is on the graph.  Plug 2 for x and 0 for y and see which equations work. The only one that works is 2x + 3y = 4
      6x + 9y = 12.

anonymous · Answer

Oh i see it

anonymous · Answer

so you mean that's the answer  jewest19??? or is there more???

anonymous · Answer

yes  2x + 3y = 4
        6x + 9y = 12  is the answer.

anonymous · Answer

I get it now that you i am not good when it comes to graph but thank you that help me a lot so thanks.