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Which statements about the system are true? Select two options
Y=1/3x-4 3y-x=-7
The system has one solution
The system consists of parallel lines
Bothsire tave the same slope,
Both ties have the same y-Intercept
The equations represent the same line

Respuesta :

JeanaShupp

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

[tex]y=\dfrac13x-4[/tex]

[tex]3y-x=-7[/tex]

Substitute [tex]y=\dfrac13x-4[/tex] in [tex]3y-x=-7[/tex],  we get

[tex]3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7[/tex] , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

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