Question

The Seahawks scored 13 more points than the Raiders in the game. The total point score was 47. How many points did each team earn?

Answer 1

Let S be the number of points scored by the Seahawks and R be the number of points scored by the Raiders

S=13+R
S+R=47

S+R=47
13+R+R=47
13+2R=47
2R=34
R=17

S+R=47
S+17=47
S=30

Therefore, the Seahawks scored 30 points, and the Raiders scored 17 points.

Answer 2

Simpler approach:
s + r = 47
s - r = 13 , add them

2s = 60
s = 30 , from s+r = 47
30 + r = 47
r = 17

Answer 3

That's an alternative method, but still works. Use whichever method you are comfortable with @blake.