You can put this solution on YOUR website! It's best to get both equations in the form y=mx+b in order to graph them.
x+y=3
subtract x from both sides
y=-x+3
x+3y=-3
subtract x from both sides
3y=-x-3
Divide both sides by 3
y=-(1/3)x-1
We can see that they intersect at (-3,0)