Answer:
B, E
Step-by-step explanation:
Given the first function:
[tex]y=-2x+\frac{2}{3}[/tex]
A Linear System with no solutions is graphically represented by two parallel lines, therefore with the same slope. So in this case, m has to be equal to -2.
And to this inconsistent system, if the linear parameter is not so relevant. So if m=-2 then b may be either equal to -1/3 or -2/3 according to the options.
Given the alternatives
No Solution System:
[tex]\left\{\begin{matrix}y=-2x+\frac{2}{3} & \\ y=-2x-\frac{1}{3} & \end{matrix}\right.[/tex]
Or
[tex]\left\{\begin{matrix}y=-2x+\frac{2}{3} & \\ y=-2x-\frac{2}{3} & \end{matrix}\right.[/tex]