Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y=\frac{2}{3}x+7[/tex] ----> equation A
[tex]3y=2x-3[/tex]
Isolate the variable y
Divide by 3 both sides
[tex]y=\frac{2}{3}x-1[/tex] ------> equation B
Compare equation A and equation B
Both lines have the same slope and different y-intercept
so
Line A and Line B are parallel lines
The lines do not intersect
therefore
The system has no solution, because both lines are parallel
see the attached figure to better understand the problem
