Answer
System: $(\frac{14}{3}, -\frac{4}{3})$
Work Step by Step
To start graphing, first find the $x$-intercepts and $y$-intercepts of both inequalities. Then plug in random numbers to plot the rest of the points.
$3x+6y\leq6$
$x$-intercept: $2$
$y$-intercept: $1$
$2x+y\leq8$
$x$-intercept: 4
$y$-intercept: 8