The first thing we are going to do to graph our equation is solve them for [tex]y[/tex]:
For our first equation:
[tex]4x-5y=50[/tex]
[tex]-5y=20-4x[/tex]
[tex]y= \frac{4}{5} x-4[/tex]
For our second equation:
[tex]3x+y=-4[/tex]
[tex]y=-3x-4[/tex]
Now, we just need to use the graphing utility to graph our equations:
[tex]y= \frac{4}{5} x-4[/tex]
[tex]y=-3x-4[/tex]
We can conclude that the graph of the equations is:
