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Which answer best describes the system of equations shown in the graph?

6x + 4y = 2

3x + 2y = 1

coincident
consistent and independent
not enough information
inconsistent

Which answer best describes the system of equations shown in the graph 6x 4y 2 3x 2y 1 coincident consistent and independent not enough information inconsistent class=

Respuesta :

Ok so I think I might know the answer.

I looked at both equations and noticed that if you divide the first equation by 2 you result with the second equation.

Therefore, I can say that it is...

 A. coincident

Remember the coincident means two shapes or lines lying on top of each other or the same.

Hope that helps.  :)
boffeemadrid

The nature of the given system of equations is required.

The given lines are coincident, consistent and dependent.

The equations are

[tex]6x+4y=2\\\Rightarrow 6x+4y-2=0[/tex]

[tex]3x+2y=1\\\Rightarrow 3x+2y-1=0[/tex]

The values of

[tex]a_1=6,b_1=4,c_1=-2[/tex]

[tex]a_2=3,b_2=2,c_2=-1[/tex]

[tex]\dfrac{a_1}{a_2}=\dfrac{6}{3}=2[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{4}{2}=2[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-2}{-1}=2[/tex]

So, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

So, the given lines are coincident, consistent and dependent.

Learn more:

https://brainly.com/question/2224417?referrer=searchResults

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