Use a graphing calculator or a computer to graph the system of inequalities. Give the coordinates of each vertex of the solution region.

5x-3y is greater than or equal to -7
x-2y is greater than or equal to 3
3x+y is greater than or equal to 9
x+5y is less than or equal to 7

I don't get how you do this problem please help.

We have no idea what kind of graphic calculator you are to use, nor could we show it on here.

But, the amazing Wolfram site gave me this

http://www.wolframalpha.com/input/?i=plot+5x-3y+≥+-7%3B++x-2y+≥+3%3B++3x%2By+≥+9+%3B+x%2B5y+≤+7++

To graph the system of inequalities and find the coordinates of each vertex of the solution region, you can use a graphing calculator or a computer program. Here are the steps to follow:

1. Open a graphing calculator or a computer graphing software. There are many options available, such as Desmos, GeoGebra, or even Microsoft Excel.

2. Start by graphing the first inequality: 5x - 3y ≥ -7.
- To represent this inequality on a graph, we need to convert it to the form y = mx + b.
- Rearrange the inequality: 5x + 7 ≥ 3y.
- Divide through by 3: (5/3)x + 7/3 ≥ y.
- In the graphing calculator or software, plot the line y = (5/3)x + 7/3 using a solid line (since the inequality includes "greater than or equal to").
- Shade the region above the line to represent the solution to the inequality.

3. Graph the second inequality: x - 2y ≥ 3.
- Similarly, rearrange the inequality: x - 3 ≥ 2y.
- Divide through by 2: (1/2)x - 3/2 ≥ y.
- Plot the line y = (1/2)x - 3/2 using a solid line.
- Shade the region above the line.

4. Now graph the third inequality: 3x + y ≥ 9.
- Rearrange the inequality: 3x ≥ -y + 9.
- Divide through by 3: x ≥ (-1/3)y + 3.
- Plot the line y = (-1/3)x + 3 using a solid line.
- Shade the region above the line.

5. Finally, graph the fourth inequality: x + 5y ≤ 7.
- Rearrange the inequality: x ≤ -5y + 7.
- Plot the line y = (-1/5)x + 7/5 using a solid line.
- Shade the region below the line.

6. Once all four inequalities are plotted, the solution region is the overlapping shaded area where all the inequalities are satisfied.

7. Determine the coordinates of each vertex of the solution region by finding the points where the lines intersect. To do this:
- Look for the points where two lines intersect.
- Calculate the coordinates of each intersection point.
- These intersection points are the vertices of the solution region.

By following these steps, you should be able to graph the system of inequalities and find the coordinates of each vertex of the solution region using a graphing calculator or computer software.