Answer
The given system has infinite solutions.
Work Step by Step
$\frac{2x}{3} + \frac{y}{6} = \frac{2}{3}$
$4x + y = 4$
Multiply the first equation with 6:
$\frac{2x}{3}*6 + \frac{y}{6}*6 = \frac{2}{3}*6$
$4x + y = 4$
From this we see that the two equations are the same. As such, their graphs overlay each other, having infinite intersection points, which means that the system has infinite solutions.
