Question 218312
x+6y>7
y>3x


Step 1.  Graph each equation in the rectangular coordinate system.  Where they overlap between the two graphs is the solution.


Step 2.  Let's graph x+6y>7.  Then in slope-intercept form is  {{{y>-x/6+7/6}}}


*[invoke plot_any_inequality "y>-x/6+7/6", -10, 10, -10, 10, 300, 300]


Step 3.  Let's graph y>3x


*[invoke plot_any_inequality "y>3x", -10, 10, -10, 10, 300, 300]


Step 4.  ANSWER:  The net result is where the shaded regions between the  two graphs overlap.  In this example, it's a region in the first and second quadrant.


I hope the above steps were helpful.


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And good luck in your studies!


Respectfully,
Dr J