Answer:
see the explanation
Step-by-step explanation:
Original system
we have
[tex]y> 2x+\frac{2}{3}[/tex]
[tex]y<2x+\frac{1}{3}[/tex]
Solve the system by graphing
The system of inequalities has no solution, because the dashed lines are parallel and the regions do not intersect
see the attached figure N 1
Reversed system
we have
[tex]y< 2x+\frac{2}{3}[/tex]
[tex]y>2x+\frac{1}{3}[/tex]
Solve the system by graphing
The solution of the system of inequalities is the shaded area between the two parallel dashed lines
see the attached figure N 2
therefore
From not having solution the system changed to have solution
