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Choose the system of equations which matches the following graph: a line includes points 6 comma 1 and 4 comma 0


3x − 6y = 12
9x − 18y = 36

3x + 6y = 12
9x + 18y = 36

3x − 6y = 12
9x + 18y = 36

3x + 6y = 12
9x − 18y = 36

Respuesta :

carlosego

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you can substitute any of the given points into each system:

Point(6,1)

System #1:

[tex]3x-6y=12[/tex]

[tex]3(6)-6(1)=12[/tex]

[tex]12=12[/tex]  

 [tex]9x-18y=36[/tex]

 [tex]9(6)-18(1)=36[/tex]

 [tex]36=36[/tex]

(This system matches the graph)

System #2:

 [tex]3x+6y=12[/tex]

 [tex]3(6)+6(1)=12[/tex]

 [tex]24=12[/tex]

 [tex]9x+18y=36[/tex]

 [tex]9(6)+18(1)=36[/tex]

 [tex]72=36[/tex]

 (The system does not matches the graph)

System #3:

 [tex]3x-6y=12[/tex]

 [tex]3(6)-6(1)=12[/tex]

 [tex]12=12[/tex]

 [tex]9x+18y=36[/tex]

 [tex]9(6)+18(1)=36[/tex]

 [tex]72=36[/tex]

(The system does not matches the graph)

System #4:

 [tex]3(6)+6(1)=12[/tex]

 [tex]24=12[/tex]

 [tex]9x-18y=36[/tex]

 [tex]9(6)-18(1)=36[/tex]

 [tex]36=36[/tex]

 (The system does not matches the graph)

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