Question 984038
Put both equations of the system into slope-intercept form; easy to graph.


{{{system(2x-y<2,x+3y>3)}}}


{{{system(y>2x-2,y>-x/3+1)}}}


This shows in reference to the LINEAR EQUATIONS.
{{{graph(300,300,-3,3,-3,3,2x-2,-x/3+1)}}}
The upper left region will be the solutions for the system, NOT including the points on the lines.


Attempting the code for the inequalities:
But this graph is WRONG.
{{{graph(300,300,-3,3,-3,3,y>2x-2,y>-x/3+1)}}}


How do you need to combine the equations?  By AND or by OR?
If by OR, then the inequality graph shown would be correct.  If by AND, then the description I gave would be correct.