#### Answer

an infinite number of solutions

#### Work Step by Step

$\begin{cases} -x + 3y = 6 \\ y = \frac{1}{3} x + 2 \end{cases}$
Since we already have a solution for y from the second equation, we just substitute $\frac{1}{3} x + 2$ for y in the first:
$-x + 3(\frac{1}{3} x + 2) = 6$
$-x + x + 6 = 6$
$6 = 6$
Since the statement $6 = 6$ is always true, the system has an infinite number of solutions.