You can put this solution on YOUR website! To graph equations in standard form as these are, I think the easiest way to graph is the TWO-Intercept Method. Find the intercepts for each equation, and graph them:
x+y=13
If x=0, then y=13
If y=0, then x=13
x-y=5
If x=0, then y=-5
If y=0, then x=5
Now graph these points and connect the dots!!! It should look like this:
The lines intersect in a single point, so the system is said to be "Independent". The solution is the point (9,4).