Answer
System: $(0.909, -1.636)$
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.
$2x-5y\leq10$
$x$-intercept: $5$
$y$-intercept: $-2$
$3x-2y\gt6$
$x$-intercept: 2
$y$-intercept: -3