SOLUTION: I hope i picked the right catagory. Can you walk me through this problem please? It is with two lines instead of the one I have been learning past weeks. Solve the system of equa

Question 232463: I hope i picked the right catagory. Can you walk me through this problem please? It is with two lines instead of the one I have been learning past weeks.
Solve the system of equations by graphing. Then classify the system.
x+y=13
x-y=-3
Thank you, you have helped me so many times, certainly the most helpful to us out here trying to figure this stuff out! dsunflower
Found 2 solutions by rfer, Earlsdon:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
x-y=-3, x=y-3
x+y=13
y-3+y=13
2y=16
y=8
----------------
x=8-3
x=5
--------------------
5+8=13
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve the system of equations:

We can eliminate the y-variable by adding these two equations.
--------------
Now divide both sides by 2.
Substitute this value of x into either one of the two given equations to find the value of y.
Substitute x = 5.
Subtract 5 from both sides.

The solution is: (5, 8) and the system "consistent" since it has at least one solution.
You could also have solved this by graphing the two given equations. The "solution" is the point of intersection of the two lines (5, 8).
Let's look at the graph:

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